time work wages

A piece of work can be done by 6 men and 5 women in 6 days or 3 men and 4 women in 10 days. It can be done by 9 men and 15 women in how many days ?A. 3 daysB. 4 daysC. 5 daysD. 6 daysAnswer:OptionAExplanation:To calculate the answer we need to get 1 man per day work and 1 woman per day work.

Let 1 man 1 day work =xand 1 woman 1 days work = y.=> 6x+5y = 1/6and 3x+4y = 1/10On solving, we get x = 1/54 and y = 1/90

(9 men + 15 women)'s 1 days work =(9/54) + (15/90) = 1/3

9 men and 15 women will finish the work in 3 days

Similar Questions :1. A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?A. 3512B. 3612C. 3712D. 3812Answer:OptionCExplanation:Work done by A in 20 days = 80/100 = 8/10 = 4/5

Work done by A in 1 day = (4/5) / 20 = 4/100 = 1/25 --- (1)

Work done by A and B in 3 days = 20/100 = 1/5 (Because remaining 20% is done in 3 days by A and B)

Work done by A and B in 1 day = 1/15 ---(2)

Work done by B in 1 day = 1/15 1/25 = 2/75

=> B can complete the work in 75/2 days = 37 (1/2) days2. A tyre has two punctures. The first puncture alone would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat ?A. 315minB. 325minC. 335minD. 345minAnswer:OptionCExplanation:Do not be confused, Take this question same as that of work done question's. Like work done by 1st puncture in 1 minute and by second in 1 minute.Lets Solve it:

1 minute work done by both the punctures =

(19+16)=(518)

So both punctures will make the type flat in

(185)mins=335mins3. A and B can together complete a piece of work in 4 days. If A alone can complete the same work in 12 days, in how many days can B alone complete that work ?A. 4 daysB. 5 daysC. 6 daysD. 7 daysAnswer:OptionCExplanation:(A+B)'s 1 day work = 1/4

A's 1 day work = 1/12

B's 1 day work =

(14112)=3112=16

So B alone can complete the work in 6 days4. A does half as much work as B in three-fourth of the time. If together they take 18 days to complete the work, how much time shall B take to do itA. 40 daysB. 35 daysC. 30 daysD. 25 daysAnswer:OptionCExplanation:Suppose B takes x dys to do the work.As per question A will take

234x=3x2days

(A+B)s 1 days work= 1/181/x + 2/3x = 1/18 or x = 30 days5. 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?A. 6 daysB. 7 daysC. 8 daysD. 9 daysAnswer:OptionBExplanation:1 woman's 1 day's work = 1/701 Child's 1 day's work = 1/1405 Women and 10 children 1 day work =

(570+10140)=17

So 5 women and 10 children will finish the work in 7 days.A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?

A.5B.51

2

C.6D.8

Answer & ExplanationAnswer:OptionCExplanation:B's 10 day's work =1x 10=2.

153

Remaining work =1 -2=1.

33

Now,1work is done by A in 1 day.

18

1work is done by A in18 x1= 6 days.

33

View AnswerWorkspaceReportDiscuss in Forum

12.4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

A.35B.40

C.45D.50

Answer & ExplanationAnswer:OptionBExplanation:Let 1 man's 1 day's work =xand 1 woman's 1 day's work =y.Then, 4x+ 6y=1and 3x+ 7y=1.

810

Solving the two equations, we get:x=11,y=1

400400

1 woman's 1 day's work =1.

400

10 women's 1 day's work =1x 10=1.

40040

Hence, 10 women will complete the work in 40 days.View AnswerWorkspaceReportDiscuss in Forum

13.A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?

A.40B.50

C.54D.60

Answer & ExplanationAnswer:OptionDExplanation:(A + B)'s 20 day's work =1x 20=2.

303


33

Now,1work is done by A in 20 days.

3

Therefore, the whole work will be done by A in (20 x 3) = 60 days.View AnswerWorkspaceReportDiscuss in Forum

14.P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?

A.55

11

B.56

11

C.65

11

D.66

11

Answer & ExplanationAnswer:OptionAExplanation:P can complete the work in (12 x 8) hrs. = 96 hrs.Q can complete the work in (8 x 10) hrs. = 80 hrs.P's1 hour's work =1and Q's 1 hour's work =1.

9680

(P + Q)'s 1 hour's work =1+1=11.

9680480

So, both P and Q will finish the work in480hrs.

11

Number of days of 8 hours each =480x1=60days = 55days.

1181111


15.10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

A.3B.5

C.7D.Cannot be determined

E.None of these

Answer & ExplanationAnswer:OptionCExplanation:1 woman's 1 day's work =1

70

1 child's 1 day's work =1

140

(5 women + 10 children)'s day's work =5+10=1+1=1

7014014147

5 women and 10 children will complete the work in 7 days.

1.A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

A.1

4

B.1

10

C.7

15

D.8

15

Answer & ExplanationAnswer:OptionDExplanation:A's 1 day's work =1;

15

B's 1 day's work =1;

20

(A + B)'s 1 day's work =1+1=7.

152060

(A + B)'s 4 day's work =7x 4=7.

6015

Therefore, Remaining work =1 -7=8.

1515


2.A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:

A.91days

5

B.92days

5

C.93days

5

D.10

Answer & ExplanationAnswer:OptionCExplanation:(A + B + C)'s 1 day's work =1,

4

A's 1 day's work =1,

16

B's 1 day's work =1.

12

C's 1 day's work =1-1+1=1-7=5.

4161244848

So, C alone can do the work in48= 93days.

55


3.A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

A.12 daysB.15 days

C.16 daysD.18 days

Answer & ExplanationAnswer:OptionBExplanation:A's 2 day's work =1x 2=1.

2010

(A + B + C)'s 1 day's work =1+1+1=6=1.

2030606010

Work done in 3 days =1+1=1.

10105

Now,1work is done in 3 days.

5

Whole work will be done in (3 x 5) = 15 days.View AnswerWorkspaceReportDiscuss in Forum

4.A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

A.20 daysB.221days

2

C.25 daysD.30 days

Answer & ExplanationAnswer:OptionBExplanation:Ratio of times taken by A and B = 1 : 3.The time difference is (3 - 1) 2 days while B take 3 days and A takes 1 day.If difference of time is 2 days, B takes 3 days.If difference of time is 60 days, B takes3x 60= 90 days.

2

So, A takes 30 days to do the work.A's 1 day's work =1

30

B's 1 day's work =1

90

(A + B)'s 1 day's work =1+1=4=2

30909045

A and B together can do the work in45= 221days.

22


5.A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

A.Rs. 375B.Rs. 400

C.Rs. 600D.Rs. 800

Answer & ExplanationAnswer:OptionBExplanation:C's 1 day's work =1-1+1=1-7=1.

36832424

A's wages : B's wages : C's wages =1:1:1= 4 : 3 : 1.

6824

C's share (for 3 days) = Rs.3 x1x 3200= Rs. 400.

24

6.If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

A.4 daysB.5 days

C.6 daysD.7 days

Answer & ExplanationAnswer:OptionAExplanation:Let 1 man's 1 day's work =xand 1 boy's 1 day's work =y.Then, 6x+ 8y=1and 26x+ 48y=1.

102

Solving these two equations, we get :x=1andy=1.

100200

(15 men + 20 boy)'s 1 day's work =15+20=1.

1002004

15 men and 20 boys can do the work in 4 days.View AnswerWorkspaceReportDiscuss in Forum

7.A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

A.8 hoursB.10 hours

C.12 hoursD.24 hours

Answer & ExplanationAnswer:OptionCExplanation:A's 1 hour's work =1;

4

(B + C)'s 1 hour's work =1;

3

(A + C)'s 1 hour's work =1.

2

(A + B + C)'s 1 hour's work =1+1=7.

4312

B's 1 hour's work =7-1=1.

12212

B alone will take 12 hours to do the work.View AnswerWorkspaceReportDiscuss in Forum

8.A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:

A.15 daysB.20 days

C.25 daysD.30 days

Answer & ExplanationAnswer:OptionCExplanation:(A + B)'s 1 day's work =1

10

C's 1 day's work =1

50

(A + B + C)'s 1 day's work =1+1=6=3. .... (i)

10505025

A's 1 day's work = (B + C)'s 1 day's work .... (ii)From (i) and (ii), we get: 2 x (A's 1 day's work) =3

25

A's 1 day's work =3.

50

B's 1 day's work1-3=2=1.

10505025

So, B alone could do the work in 25 days.View AnswerWorkspaceReportDiscuss in Forum

9.A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

A.23 daysB.37 days

C.37D.40 days


10.A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished ?

A.11:30 A.M.B.12 noon

C.12:30 P.M.D.1:00 P.M.

Answer & ExplanationAnswer:OptionDExplanation:(P + Q + R)'s 1 hour's work =1+1+1=37.

81012120

Work done by P, Q and R in 2 hours =37x 2=37.

12060


6060

(Q + R)'s 1 hour's work =1+1=11.

101260

Now,11work is done by Q and R in 1 hour.

60

So,23work will be done by Q and R in60x23=23hours2 hours.

60116011

So, the work will be finished approximately 2 hours after 11 A.M., i.e., around 1 P.M.

21.A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

A.4 daysB.6 days

C.8 daysD.12 days

Answer & ExplanationAnswer:OptionBExplanation:Suppose A, B and C takex,xandxdays respectively to finish the work.

23

Then,1+2+3=1

xxx2

6=1

x2

x= 12.So, B takes (12/2) = 6 days to finish the work.View AnswerWorkspaceReportDiscuss in Forum

22.A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :

A.8 daysB.10 days

C.12 daysD.15 days

Answer & ExplanationAnswer:OptionCExplanation:(A + B)'s 1 day's work =1+1=1.

15106

Work done by A and B in 2 days =1x 2=1.

63


33


15

2work will be done by a in15 x2= 10 days.

33

Hence, the total time taken = (10 + 2) = 12 days.View AnswerWorkspaceReportDiscuss in Forum

23.A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?

A.18 daysB.24 days

C.30 daysD.36 days

Answer & ExplanationAnswer:OptionAExplanation:2(A + B + C)'s 1 day's work =1+1+1=15=1.

3024201208

Therefore, (A + B + C)'s 1 day's work =1=1.

2 x 816

Work done by A, B, C in 10 days =10=5.

168


88

A's 1 day's work =1-1=1.

162448


48

So,3work will be done by A in48 x3= 18 days.

88


24.A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in :

A.4 daysB.6 days

C.8 daysD.18 days

Answer & ExplanationAnswer:OptionAExplanation:Ratio of rates of working of A and B = 2 : 1.So, ratio of times taken = 1 : 2.B's 1 day's work =1.

12

A's 1 day's work =1; (2 times of B's work)

6

(A + B)'s 1 day's work =1+1=3=1.

612124

So, A and B together can finish the work in 4 days.View AnswerWorkspaceReportDiscuss in Forum

25.Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?

A.3 : 4B.4 : 3

C.5 : 3D.Data inadequate

Answer & ExplanationAnswer:OptionBExplanation:(20 x 16) women can complete the work in 1 day.1 woman's 1 day's work =1.

320

(16 x 15) men can complete the work in 1 day.1 man's 1 day's work =1

240

So, required ratio=1:1

240320

=1:1

34

= 4 : 3 (cross multiplied)

26.A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :

A.4 daysB.6 days

C.8 daysD.12 days

Answer & ExplanationAnswer:OptionCExplanation:(A + B + C)'s 1 day's work =1;

6

(A + B)'s 1 day's work =1;

8

(B + C)'s 1 day's work =1.

12

(A + C)'s 1 day's work=2 x1-1+1

6812

=1-5

324

=3

24

=1.

8

So, A and C together will do the work in 8 days.View AnswerWorkspaceReportDiscuss in Forum

27.A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:

A.5 daysB.6 days

C.10 daysD.101days

2

Answer & ExplanationAnswer:OptionCExplanation:(B + C)'s 1 day's work =1+1=7.

91236

Work done by B and C in 3 days =7x 3=7.

3612


1212


24

So,5work is done by A in24 x5= 10 days.

1212


28.X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days. How long will they together take to complete the work?

A.131days

3

B.15 days

C.20 daysD.26 days

Answer & ExplanationAnswer:OptionAExplanation:Work done by X in 8 days =1x 8=1.

405


55

Now,4work is done by Y in 16 days.

5

Whole work will be done by Y in16 x5= 20 days.

4

X's 1 day's work =1, Y's 1 day's work =1.

4020

(X + Y)'s 1 day's work =1+1=3.

402040

Hence, X and Y will together complete the work in40= 131days.

33


29.A and B can do a job together in 7 days. A is 1times as efficient as B. The same job can be done by A alone in :

A.91days

3

B.11 days

C.121days

4

D.161days

3

Answer & ExplanationAnswer:OptionBExplanation:(A's 1 day's work) : (B's 1 day's work) =7: 1 = 7 : 4.

4

Let A's and B's 1 day's work be 7xand 4xrespectively.Then, 7x+ 4x=1 11x=1 x=1.

7777

A's 1 day's work =1x 7=1.

7711


30.A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

A.30 daysB.40 days

C.60 daysD.70 days

Answer & ExplanationAnswer:OptionCExplanation:Let A's 1 day's work =xand B's 1 day's work =y.Then,x+y=1and 16x+ 44y= 1.

30

Solving these two equations, we get:x=1andy=1

6060


60

Hence, B alone shall finish the whole work in 60 days.

16.X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

A.6 daysB.10 days

C.15 daysD.20 days

Answer & ExplanationAnswer:OptionBExplanation:Work done by X in 4 days =1x 4=1.

205


55

(X + Y)'s 1 day's work =1+1=8=2.

20126015

Now,2work is done by X and Y in 1 day.

15

So,4work will be done by X and Y in15x4= 6 days.

525

Hence, total time taken = (6 + 4) days = 10 days.View AnswerWorkspaceReportDiscuss in Forum

17.A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

A.11 daysB.13 days

C.203days

17

D.None of these

Answer & ExplanationAnswer:OptionBExplanation:Ratio of times taken by A and B = 100 : 130 = 10 : 13.Suppose B takesxdays to do the work.Then, 10 : 13 :: 23 :x x=23 x 13 x=299.

1010

A's 1 day's work =1;

23


299

(A + B)'s 1 day's work =1+10=23=1.

2329929913

Therefore, A and B together can complete the work in 13 days.View AnswerWorkspaceReportDiscuss in Forum

18.Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

A.7 hours 30 minutesB.8 hours

C.8 hours 15 minutesD.8 hours 25 minutes

Answer & ExplanationAnswer:OptionCExplanation:Number of pages typed by Ravi in 1 hour =32=16.

63

Number of pages typed by Kumar in 1 hour =40= 8.

5

Number of pages typed by both in 1 hour =16+ 8=40.

33

Time taken by both to type 110 pages =110 x3hours

40

= 81hours (or) 8 hours 15 minutes.

4


19.A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:

A.1day

24

B.7day

24

C.33days

7

D.4 days

Answer & ExplanationAnswer:OptionCExplanation:Formula:If A can do a piece of work inndays, then A's 1 day's work =1.

n

(A + B + C)'s 1 day's work =1+1+1=7.

2461224

Formula:If A's 1 day's work =1,then A can finish the work inndays.

n

So, all the three together will complete the job in24days=33days.

77


20.Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:

A.15B.16

C.18D.25

Answer & ExplanationAnswer:OptionBExplanation:Ratio of times taken by Sakshi and Tanya = 125 : 100 = 5 : 4.Suppose Tanya takesxdays to do the work.5 : 4::20 :xx=4 x 20

5

x= 16 days.Hence, Tanya takes 16 days to complete the work.

Problems on Timeand Work

Q. 1.A completes a work in 12 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be(a) 8(b) 6(c) 7(d) 5(e) None of theseAns: (a) 8Explanation:IfA can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days.Therefore, here, the required number of days = 12 24/ 36 = 8 days.Ans.Q. 2.If4 men can colour 48 m long cloth in 2 days, then 6 men can colour 36 m long cloth in(a)1 day(b) 1 days(c) day(d) day(e) None of theseAns: (a) 1 dayExplanation:The length of cloth painted by one man in one day = 48 / 4 2 = 6 mNo. of days required to paint 36 m cloth by 6 men = 36/ 6 6 = 1 day.Ans.Q. 3.If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in(a) 7 days(b) 6 days(c) 4 days(d) 3 days(e) None of theseAns:(d) 3 days.Explanation:That is, 1 person can do one time of the work in 3 days.Therefore, 7 persons can do 7 times work in the same3 daysitself.Ans.Q. 4.Mangala completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is(a) 15(b) 10(c) 9(d) 8(e) None of theseAns: ( d) 8Explanation:IfA can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days.That is, the required No. of days = 10 40/50 = 8 days.Ans.Q. 5.12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 8 days, working 15 hours a day, the number of men required(a) 4(b) 5(c) 6(d) 8(e) None of theseAns: (d) 8Explanation:That is, 1 work done= 12 8 10Then, 128 10 = ? 15 8? (i.e. No. of men required) = 12 8 10/15 10 = 8 days.Ans.Q. 6.If5 people undertook a piece of construction work and finished half the job in 15 days. If two people drop out, then the job will be completed in(a) 25 days(b) 20 days(c) 15 days(d) 10 days(e) None of theseAns:(a) 25 daysExplanation:That is, half the work done = 5 15 Then, 5 15 = 3 ? 1/2i.e. 5 15 = 3 ?therefore, ? (No. days required) = 5 15/3 = 25 days.Ans.Q. 7.30 labourers working 7 hours a day can finish a piece of work in 18 days. If the labourers work 6 hours a day, then the number of labourers required to finish the same piece of work in 30 days will be(a) 15(b) 21(c) 25(d) 22(e) None of theseAns:(b) 21Explanation:That is, 1 work done = 30 7 18 = ? 6 30? (No. of labourers) = 30 7 18/6 30= 21.Ans.Q. 8.If 5 girls can embroider a dress in 9 days, then the number of days taken by 3 girls will be(a) 20 days(b) 10 days(c) 14 days(d) 15 days(e) None of daysAns: (d) 15 daysExplanation:That is,5 9 = 3 ?? = 5 9/3 = 15 days.Ans.Q. 9.A and B together can plough a field in 10 hours but by himself A requires 15 hours. How long would B take to plough the same field?(a) 10 hours(b) 20 hours(c) 30 hours(d) 40 hours(e) None of theseAns: (c) 30 hoursExplanation:If A and B together can do a piece of work in x days and A alone can do the same work in y days, then B alone can do the same work in x y/ y x days.Therefore, the No. of hours required by B= 10 15/ 15 10 = 150/5 = 30 hours.Ans.Q. 10.16 men or 20 women can finish a work in 25 days. How many days 28 men and 15 women will take to finish this job?(a) 1913/43 days(b) 11 27/43 days(c) 8 days(d) 10 days(e) None of theseAns: (d) 10 daysExplanation:16 men = 20 womenTherefore, 1 women = 16/20 men = 4/5 men15 women = 4/5 15 men = 12 meni.e. 28 men + 15 women = 28 men + 12 men = 40men1 work done by men = 16 2516 25 = 40 ?? (no. of days) = 16 25/40 = 10 days.Ans.Q. 11.A can do a piece of work in 5 days and B can do the same work in 10 days. How many days will both take to complete the work?(a) 5 days(b) 3 1/3 days(c) 3 days(d) 6 days(e) None of theseAns: (b) 3 1/3 daysExplanation:IfA can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days.That is, the required No. of days = 5 10/15 = 3 1/3 days.Ans.Q. 12.If 12 men can do a piece of work in 24 days, then in how many days can 18 men do the same work?(a) 36(b) 20(c) 18(d) 16(e) None of theseAns: (d) 16Explanation:1 work done = 12 24Then, 12 24 = 18 ? days? days = 12 24/18 = 16.Ans.Q. 13.A group of workers accepted to do a piece of work in 25 days. If 6 of them did not turn for the work and the remaining workers did the work in 40 days, then the original number of workers was(a) 22(b) 20(c) 18(d) 16(e) None of theseAns:(d) 16Explanation:Let the original number of workers be xThen,x 25 = (x 6) 4025x = 40x -240240 = 40x -25x = 15xx = 240/15 = 16.Ans.Q. 14.If 8 men or 12 women can do a piece of work in 10 days, then the number of days required by 4 men and 4 women to finish the work is(a) 8(b) 10(c) 12(d) 4(e) None of theseAns:(c) 12Explanation:8 men = 12 women1 woman = 8/12 men = 2/3 men4 women = 2/3 4 men = 8/3 men4 men + 4 women = 4 + 8/3 men = 20/3 men1 work done = 8 108 10 = 20/3 ?days?days = 8 10 3/20 = 12 days.Ans.Q. 15.If 8 men can dig a well in 18 days, then the number of days, 12 men will take to dig the same well will be(a) 12 days(b) 10 days(c) 8 days(d) 16 days(e) None of theseAns: (a) 12 daysExplanation:Work done = 8 18Then, 8 18 = 12 ? days? days = 8 18/12 = 12 days.Ans.Q. 16.39 men can repair a road in 12 days working 5 hours a day. In how many days will 30 men working 6 hours peer day complete the work?(a) 10(b) 13(c) 14(d) 15(e) None of theseAns: (b) 13Explanation:1 work done = 39 12 539 12 5 = 30 6 ?days? days = 39 12 5/ 30 6 = 13 days.Ans.Q. 17.A certain number of men can do a work in 40days. If there were 8 men more, it could be finished in 10 days less. How many men were there initially?(a) 30(b) 24(c) 16(d) 20(e) None of theseAns: (b) 24Explanation:Let x be the initial number of menThen, 1 work done = x 40Then, x 40 = (x + 8 ) (40 10)40x = 30x + 24010x = 240Therefore, x = 240/10 = 24 men.Ans.Q. 18.If 4 men or 6 boys can finish a work in 20 days. How long will 6 men and 11 boys take to finish the same work?(a) 10 days(b) 6 days(c) 4 days(d) 3 days(e) None of theseAns:(b) 6 daysExplanation:4 men = 6 boysThen,1 boy = 4/6 men = 2/3 men11 boys = 2/3 11 men = 22/3 menThen, 6 men + 11 boys = 6 + 22/3 men = 40/3 men1 work done = 4 men 20daysThat is, 4 20 = 40/3 ? days? days = 4 20 3/40 = 6 days.Ans.Q. 19.Aworks twice as fast as B. if B can complete a work in 12 days independently. The number of days in which A and B can together finish the work?(a) 18 days(b) 8 days(c) 6 days(d) 4 days(e) None of theseAns: (d) 4 daysExplanation:If B takes 12 days to finish the work, then A takes 6 days to finish the same work.IfA can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days.Therefore, the Number of days taken by A and B together to finish the same work = 6 12/18= 4 days.Ans.Q. 20.A and B can do a piece of work in 4 days. If A can do it alone in 12 days, B will finish the work in(a) 4 days(b) 6 days(c) 8 days(d) 10 days(e) None of theseAns:(b) 6 daysExplanation:If A and B together can do a piece of work in x days and A alone can do the same work in y days, then B alone can do the same work in x y/ y x days.Therefore, the number of days B will take to finish the work = 4 12/ 12 4= 48/8 = 6 days.Ans.Q. 21.5 men can doa piece of work in 6 days while 10 women can do it in 5 days. In how many days can 5 women and 3 men do it?(a) 4(b) 5(c)6(d) 8(e) None of theseAns:(b) 5Explanation:5men 6 = 10 women 530 men= 50 women1 woman = 30/50 men = 3/5 men5 women = 3/5 5 men = 3 men5 women + 3 men = 3 + 3 = 6 menThat is, 1 work done = 5 65 6 = 6 ?days? days = 5 6/6= 5 days.Ans.Q. 22.Awork could be completed in 100 days. However, due to the absence of 10 workers, it was completed in 110 days then, the original number of workers was(a) 100(b) 110(c) 55(d) 50(e) None of theseAns: (b) 110Explanation:Let x be the original number of workersThen, x 100 = ( x 10) 110100 x = 110x 11001100 = 10 xx = 110.Ans.Q. 23.A particular job can be completed by a team of 10 men in 12 days. The same job can be completed by a team of 10women in 6 days. How many days are needed to completed the job if the two teams work together?(a) 4(b) 6(c) 9(d) 18(e) None of theseAns: (a) 4Explanation:Consider mens work days as one group and womens working days as other groupThen, the required No. of days = 12 6/18 = 4 days.Ans.Q. 24.A can do a piece of work in 12 days, while B can do it in 8 days with the help of C, they finish the work in 4 days. Then C alone can do the work in(a) 24 days(b) 20 days(c) 16 days(d) 4 days(e) None of theseAns: (a) 24 daysExplanation:A and B together can do the work in12 8/20 = 96/20 daysA +B and C together do the work in 4 days.Then C alone can do the work in96/20 4/96/20 4 days= 96/5/16/20 = 96/5 20/16 = 24 days.Ans.Q. 25.A job can be completed by 12 men in 12 days. How many extra days will be needed to complete the job if 6 men leave after working for 6 days?(a) 3(b) 12(c) 6(d) 24(e) None of theseAns:(c) 6Explanation:Half the work is done by 12 men in 6 days.Remaining half should be done by 6 men in ? daysThen,12 6 = 6 ?days 36 = 3 ?days? days = 36/3 =12 daysExtra days required = 12 -6 = 6 days.Ans.Q. 26.Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same job. How long should it take, worker A and worker B, working together but independently, do the same job?(a) 4 1/9 hours(b) 4 2/9 hours(c) 4 4/9 hours(d) 4 5/9 hours(e) None of theseAns: (c) 4 4/9 hoursExplanation:IfA can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days.Then 8 10/18 = 4 4/9 hours.Ans.Q. 27.Three workers working all days can do a work in 10 days. But one of them having other employment can work only half time. In how many days the work can be finished?(a) 15days(b) 16 days(c) 12 days(d) 12.5 days(e) None of theseAns: (c) 12 days.Explanation:Sum of each persons one days work = 1/3 10 + 1/3 10 + 1/3 20 = 1/30 + 1/30 + 1/60= 5/60 = 1/12Therefore, the work can be finished in 12 days.Ans.Q. 28.Sam, Bob and Kim can do a job alone in 15 days, 10 days and 30 days respectively. Sam is helped by Bob and Kim every third day. In how many days will the job be completed?(a) 9 days(b) 8 1/3 days(c) 8 days(d) 6 1/3 days(e) None of theseAns: (a) 9 daysExplanation:The work done by the three persons in 3 days ( because Sam works only on every third day)=3/15 + 1/10 + 1/30 = 6 + 3 + 1/30 = 10/30= 1/3 of the workTherefore, the job will be completed in 3 3 = 9 days.Ans.Q. 29.Prakash alone can complete a job in 12 hours, Jayant alone can complete the same job in 6 hours. How many hours will they take together to complete the job?(a) 4(b) 6(c) 2(d) 8(e) None of theseAns:(a) 4Explanation:IfA can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days.Here, the No. of hours required to complete the work , working together = 12 6/18= 4 hours.Ans.Q. 30.56 men completes a work in 12 days. How many men will be required to complete the work in 16 days?(a) 38(b) 24(c) 42(d) 48(e) None of theseAns:(c) 42Explanation:1 work done = 56 men 12 daysThen, 56 12 = ? men 16? men = 56 12/16 = 42 men.Ans.Q. 31.Six men or tern boys can do a piece of work in fifteen days. How long would it take for 12 men and 5 boys to do the same piece of work?(a) 6 days(b) 28 days(c) 25 days(d) 7 days(e) None of theseAns: (a) 6 daysExplanation:6 men = 10 boysThen, 1 boy = 6/10 men =3/5 menThen, 5 boys = 3/5 5 = 3 men12 men + 5 boys = 15 men1 work done = 6 men 15 daysTherefore,6 15 = 15 ? days? days = 6 15/15 = 6 days.Ans.Q. 32.If4 workers can make 42 toys in 6 days, how many toys can 12 workers make in 3 days?(a) 63(b) 28(c) 252(d) 7(e) None of theseAns: (a) 63Explanation:4 workers in 3 days make 21 toys,Then, 1 worker can make 21/4 toys in 3 daysTherefore, No. of toys made by 12 workers in 3 days = 21/4 12 = 63 toys.Ans.Q. 33.10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will work get completed?(a) 6(b) 7 2/3(c) 6 2/3(d) 6 1/3(e) None of theseAns: (c) 62/3Explanation:IfA can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days.Here, mens working days can be taken as Aand that of women as BThen, 15 12/27 = 6 2/3 days.Ans.Q. 34.Three men, four women and six children can complete a work in 7 days . A woman does double the work a man does and a child does half the work a man does. How many women can complete this work in7 days?(a) 8(b) 7(c) 12(d) 10(e) None of theseAns: ( b)7Explanation:3 men = 3/2 women1 child = 1/2/2 = womanThen, 6 children = 6 = 6/4 = 3/2 womenThen, 3/2 women + 4 women + 3/2 women = 7 women7 womendoes the work in7 days.Therefore, the No. of women required to finish the work in7days =7. AnsQ. 35.A sum of money is sufficient to pay Ps wages for 25 days or Qs wages for 30 days. The money is sufficient to pay the wages of both for(a) 13 5/11 days(b) 13 days(c) 13 6/11 days(d) 137/11 days(e) None of theseAns: (d) 13 7/11Explanation:IfA can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days.Here, wages can be taken as days,Then, 25 30/ 55 = 13 7/11 days.Ans.Q. 36.A certain number of men complete a piece of work in 50 days. If there were 8 men more the work could be finished in 10 days less. How many men were originally there?(a) 40(b) 50(c) 32(d) 25(e) None of theseAns: (c) 32Explanation:Let the original No. of men = xThen, I work done = 50xThen, 50x = (x + 8) 4050x = 40x + 32010 x = 320x = 320/10 = 32 men.Ans.Q. 37.Aand B together finish a work in 30 days they worked for it for 20 days and then B left. The remaining work was done by A alone in 20 more days. B alone can finish the work in(a) 48 days(b) 50 days(c) 54 days (d) 60 days(e) none of theseAns: ( d) 60 daysExplanation:(A + B)s 1 days work = 1/30A+B s 20 days work = 1/30 20 = 2/3Remaining work = 1 -2/3 = 1/31/3 of the work is done by A in 20 daysTherefore, A can complete the full work in 3 20 = 60 daysSo, As 1 days work = 1/60Then, Bs 1 day work = 1/30 1/60 = 1/60Therefore, B can complete the work in 60 days.Ans.Q. 38.A can complete a job in 9 days, B in 10 days and C in 15 days. B and C start the work together and are forced to leave after 2 days. The timetaken to complete the remaining work is(a) 13 days(b) 10 days(c) 9 days(d) 6 days(e) None of theseAns: (d) 6 daysExplanation:As 1 day work = 1/9Bs 1 day work = 1/10Cs 1 day work = 1/15B + C s 1 day work = 1/10 + 1/15 = 1/6B + Cs 2 days work = 1/6 2 = 1/3The work remaining = 1 1/3 = 2/3A can do the full work in 9 days.So, the remaining 2/3 of the work is done by A in 2/3 9 days = 6 days.Ans.Q. 39.If 40 men working 9 hours a day can finish a work in 21 days, in how many days will 27 men working 10 hours a day do the same work?(a) 20 days(b) 28 days(c) 29 days(d) 25 days(e) None of theseAns:(b) 28 daysExplanation:That is, 1 work done = 40 9 21Then, 40 9 21 = 27 10 ? daysTherefore, ? days = 40 9 21 /27 10 = 28 days.Ans.Q. 40.8 children and 12 men complete a certain piece of work in 9 days. Each child takes twice the time taken by a man to finish the work. In how many days will 12 men finish the same work?(a) 8(b) 15(c) 9(d) 12(e) None o f theseAns: (d) 12Explanation:8 children = 4menThen, 4 + 12 = 16 men completes the job in 9 daysThen, 16 9 = 12 ? days? days = 16 9/12 = 12 days.Ans.Q. 41.Rajesh and Ajay can complete a job in 16 days. Rajesh alone can do it in 24 days. How long will Ajay alone take to finish the whole work?(a) 20 days(b) 48 days(c) 30 days(d) 36 days(e) 28 daysAns: (b) 48 daysExplanation:If A and B together can do a piece of work in x days and A alone can do the same work in y days, then B alone can do the same work in x y/ y x days.Then, Ajay alone can finish the whole work in, 16 24/24 16 = 16 24/8 = 48 days.Ans.Q. 42.Ram, Shyam and Mohan can do a piece of work in 12, 15 and 20 days respectively. How long will they take to finish it together?(a) 10 days(b) 12 days(c) 14 days(d) 8 days(e) 5 daysAns: (e) 5 daysExplanation:When A, B and C can do a work in x, y and z days respectively. Then, the three of them together can finish the work inxyz/ x y + y z + x zdaysTherefore, the No. of days taken by them togetherto finish the whole work= 12 15 20/12 15 + 15 20 + 12 20= 12 15 20/720 = 5 days.Ans.Q. 43.Tapas works twice as much as Mihir. If both of them finish the work in 12 days, Tapas alone can do it in:(a) 20 days(b) 24 days(c) 18 days(d) 20 days(e) None of theseAns: (c)18 daysExplanation:Mihir = 2 Tapas(Consider, Tapas as Tand Mihir as M)So, T 2 T/ T + 2T = 122 T T/3 T = 122 T = 3 12 = 36T = 36/2 = 18 days i.e. No. of days taken by Tapas alone = 18 days.Ans.Q. 44.Xavier can do a job in 40 days. He worked on it for 5 days and then Paes finished it in 21 days. In how many days Xavier and Paes can finish the work?(a) 10(b) 15(c) 20(d) 840/61(e) 12Ans: (b) 15Explanation:Xaviers one days work = 1/40His 5 days work = 1/40 5 = 1/8The work remaining = 1 1/8 = 7/87/8 of the work is done by Paes in 21 daysThen, his 1 days work = 7/8/21 = 7/21 8 = 1/24Therefore, the time taken by Paes to finish the whole work = 24 days.Then. The No. of days two of them together take to finish the work =40 24/40 + 24= 40 24/64 = 15 days.Ans.Q. 45.A can finish a work in 18 days and B can do the same work in half the time taken by A. Then, working together, what part of the same work they can finish in a day?(a) 1/6(b) 1/9(c) 2/5(d) 2/7(e) None of theseAns: (a) 1/6Explanation:B alone can do the same work in 9 daysSo, the No. of days both of them together take to do the work = 18 9/ 18 + 9=18 9/27 =6 days.The part of the work, they together finish in one day = 1/6.Ans.Q. 46.A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:(a) 1/24 day(b) 7/24 day(c) 3 3/7 days(d) 4 days(e) None of theseAns:(c) 3 3/7 daysExplanation:When A, B and C can do a work in x, y and z days respectively. Then, the three of them together can finish the work inxyz/ x y + y z + x zdaysTherefore, the No. of days taken by them together = 24 6 12/24 6 + 6 12 + 24 12= 24 6 12/ 504 = 3 3/7 days.Ans.Q. 47.A man can do a piece of work in 5 days, but with the help of his son, he can do it in 3 days. In what time can the son do it alone?(a) 6 days(b) 7 days(c) 7 days(d) 8 days(e) None of theseAns:(c) 7 daysExplanation:If A and B together can do a piece of work in x days and A alone can do the same work in y days, then B alone can do the same work in x y/ y x days.Therefore, his son alone can do the work in 3 5/ 5 3 = 15/2 = 7 days.Ans.Q. 48.A works twice as fast as B. if B can complete a work in 12 days independently, the number of days in which A and B can together finish the work is:(a) 4 days(b) 6 days(c) 8 days(d) 18 days(e) None oftheseAns: (a) 4 daysExplanation:That is, if b alone can finish the work in 12 days,A alone can finish the work in 6 days.IfA can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days.Therefore,A and B can together finish the work in6 12/18 days = 4 days.Ans.Q. 49.A is twice as good a workman as B and together they finish a piece of work in 14 days. The number of days taken by A alone to finish the work is:(a) 11(b) 21(c) 28(d) 42(e) None of theseAns: (b) 21Explanation:As work is twice as Bs workSo, we can consider 2A = BThen, A 2A/ A+ 2A = 142A A/ 3A = 142 A = 14 3A = 21 days. i.e. A alone can finish the work in 21 days.Ans.Q. 50.A is thrice as good aworkman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:(a) 20 days(b) 22 days(c) 25 days(d) 30 days(e) None of theseAns: (b) 22 daysExplanation:That is, 3A = B, replacing 3 A in place of B, we get3A A = 60 daysA = 30 days, i.e. A alone can finish the work in 30 daysThen, B alone can finish the work in 3 30 = 90 daysTherefore, working together they can finish it in 30 90/ 120 days. = 22 days.Ans.Q. 51.A and B can do a job together in 7 days. A is 1 times as efficient as B. the same job can be done by A alone in:(a) 91/3 days(b) 11 days(c) 12 days(d) 16 1/3 days(e) Noneof theseAns: (b) 11 daysExplanation:1 = 7/47/4 A = B, replacing B by 7/4 A, we getA 7/4 A/ A + 7/4 A = 7days7 A A/4 / 11A/4 = 7 A A/ 11 A = 7A /11 = 7A = 77/7 = 11,So, A alone can finish the work in 11 days.Ans.Q. 52.Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:(a) 15(b) 16(c) 18(d) 25(e) None of theseAns: (b) 16Explanation:The ratio of their efficiency, i.e. Sakshi : Tannya = 100 : 125 = 4 : 5Therefore, ratio of time taken by them = 5 : 4That is, No. of days taken by Sakshi is 5 units of ratio = 20 daysSo, 1 unit of ratio = 20/5 = 4 daysTherefore, No. of days taken by Tannya = 4 4= 16 days.Ans.Q. 53.A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?(a) 11 days(b) 13 days(c) 20 3/17 days(d) 14 days(e) None of theseAns: (b) 13 daysExplanation:The ratio of their efficiency =A : B = 130 : 100 = 13 : 10Therefore, the ratio of the time taken by them = 10 : 13A takes 23 days = 10 units of ratioSo,1 unit of ratio = 23/10Time taken by B alone to finish the work = 23/1013 = 29.9 = 30 daysTherefore, the No. of days taken to finish the work working together = 23 30/ 53= 13 days.Ans.Q. 54.A does half as much work as B in three-fourth of the time. If together they take 18 days to complete the work, how much time shall B take to do it ?(a) 30 days(b) 35 days(c) 40 days(d) 36 days(e) None of theseAns: (a) 30 daysExplanation:That is , A = 3B/2/1/2 = 3B/2Replacing A by 3B/2, we get3B/2 B/3B/2 + B = 18 days3 B B/5B =183B = 90B = 30 days,B alone can finish the work in 30 days.Ans.Q. 55.A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is:(a) (b) 1/10(c) 7/15(d) 8/15(e) None of theseAns: (d) 8/15Explanation:Working together, the No. of days taken by them to finish the work = 15 20/35= 60/7 days.Then, their 1 days work = 7/60Their, 4 days work = 7 4/60 = 7/15 of the total workTherefore, the fraction of the work, that is left = 1- 7/15 = 8/15.Ans.Q. 56.A can finish a work in 18 days and B can do the work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work(a) 5(b) 5 (c) 6(d) 8(e) None of theseAns:(c) 6 daysExplanation:Bs one days work = 1/15Bs 10 days work = 1/15 10 = 2/3Remaining work = 1/3As 1 day work = 1/18No. of days A take to finish 1/3 of the work = 1/3/1/18 = 1/3 18 = 6 days.Ans.Q. 57.A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in:(a) 8 days(b) 10 days(c) 12 days(d) 15 days(e) None oftheseAns:(c) 12 daysExplanation:No. of days taken by them working together = 15 10/25 = 6 daysTheir 1 days work= 1/6Their 2 days work = 1/6 2 = 1/3The work remaining = 2/3As 1 day work = 1/15Time taken by A to finish 1/3of the work = 2/3/1/15 = 2/3 15 = 10 daysTherefore, the total number of days taken to finish the whole work = 10 +2 = 12 days.Ans.Q. 58.A can finisha work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:(a) 5 days(b) 6 days(c) 10 days(d) 10 days(e) None of theseAns: (c) 10 daysExplanation:No. of days taken by B and C together to finish the work = 9 12/21 = 36/7 daysTheir 1 day work = 7/36So, their 3 days work = 7/36 3 = 7/12The remaining work = 5/12As 1 days work = 1/24To finish the remaining 5/12 of the work, the No. of days taken by A = 5/12/1/24= 5/12 24= 10 days.Ans.Q. 59.A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machinesare started at 9 a.m. while machine P is closed at 11 a.m. and the remaining two machines complete the work. Approximately at what time will the work be finished?(a) 11: 30 a.m.(b) 12 noon(c) 12:30 p.m.(d) 1 p.m.(e) None of theseAns: (d) 1 p.m.Explanation:The three machines 1 hours work = 1/8 + 1/10 + 1/12 = 37/120Their, work from 9 a.m. to 11 a.m. = 2 hours work = 37/120 2= 27/60The remaining work = 23/60Machines Q and Rs 1 hours work = 1/10 + 1/12 = 11/60Therefore, the time taken by Q and R to finish the remaining 23/60 work = 23/60/11/60= 23/60 60/11 = 23/11 = 2 hours approx.Therefore, the approximate time at which thework is finished = 11 + 2 = 1 p.m.Ans.Q. 60.A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish work?(a) 18 days(b) 24 days(c) 30 days(d) 36 days(e) None of theseAns: (a) 18 daysExplanation:i.e. 2 ( A + B + C) s 1 days work = 1/30 + 1/24 + 1/20 = 1/8their 1 days work = 1/8/2 = 1/16their 10 days work = 1/16 10 = 5/8the remaining work = 3/8As 1 days work = 1/16 1/24 = 1/48Therefore, the No. of days A alone will take to complete 3/8 of the work = 3/8/ 1/48= 3/8 48 = 3 6 = 18 days.Ans.Q. 61.X and Ycan do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?(a) 6 days(b) 10 days(c) 15 days(d) 20 days(e) None of theseAns: (b) 10 daysExplanation:Xs 1 days work = 1/20Xs 4 days work = 1/20 4 = 1/5The remaining work = 4/5X and Ys 1 day work = 1/20 + 1/12 = 4/30 = 2/15Therefore, Both together finish the remaining work in 4/5/2/15 days= 4/5 15/2 = 6 daysTherefore, the total number of days taken to finish the work = 4 + 6 = 10 days.Ans.

Q. 62.A and B can together finish a work in 30 days. They worked together for 20 days and then B left. After another 20 days, A finished he remaining work. In how many days A alone can finish the job?(a) 40(b) 50(c) 54(d) 60(e) None of theseAns: (d) 60Explanation:A + B s 1 days work = 1/30Their 20 days work = 1/30 20 = 2/3Remaining work = 1/31/3 of the work is done by A in 20 days.Then, whole work can be done by A in 3 20 = 60 days.Ans.Q. 63.X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days. How long will they together take to complete the work?(a) 13 1/3 days(b) 15 days(c) 20 days(d) 56 days(e) None of theseAns: (a) 13 1/3 daysExplanation:As 8 days work = 1/40 8 = 1/5Remaining work = 4/54/5 of the work is finished by Y in 16 daysSo, Y can finish the whole work alone in 16 5/4 days = 20daysThey both together can finish it in 40 20/60 =13 1/3 days.Ans.Q. 64.A does 4/5 of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?(a) 23 days(b) 37 days(c) 37 days(d) 40 days(e) None of theseAns:(c) 37 daysExplanation:A alone can finish the work in20 5/4 days = 25 daysAs 1 days work = 1/25A and B together can finish the whole work in 5 3 days = 15 daysTheir 1 days work = 1/15Therefore, Bs 1 days work = 1/15 1/25 = 1/37 Therefore, B alone can finish the whole work in 37 days.Ans.Q. 65.A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?(a) 30 days(b) 40 days(c) 60 days(d) 70 days(e) None of theseAns: (c) 60 daysExplanation:A + Bs 1 days work = 1/30i.e. A + B = 1/30--------- (i)16 A + 44 B = 1------ (ii)( i.e. 1 = the whole work done)Multiplying (i) by 16 and subtracting it from (ii), we geti.e. 16 A + 44 B = 116 A + 16B = 8/1528 B =7/15B = 1/60 i.e. Bs 1 days work = 1/60Therefore,B alone can finish the work in 60 days.Ans.Q. 66.Aand B together can do a piece of work in 12 days, which B and C together can do in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes it in 13 days. In how many days C alone will do the work?(a) 16(b) 24(c) 36(d) 48(e) None of theseAns: (b) 24Explanation:According to the question,A + Bs 1 days work = 1/12B+ Cs 1 days work = 1/16A worked for 5 days, B for 7 days and C for 13 days. So, we can assume that,A+ B has been working for 5 days and B+ C has been working for 2 days and C alone for 11 days.i.e. As 5 days work + Bs 7 days work + Cs 13 days work = 1(A+ B)s 5 days work + (B + C)s 2 days work + Cs 11 days work = 15/12 + 2/16 + Cs 11 days work = 1So, Cs 11 days work = 1 (5/12 + 2/16) = 11/24Cs 1 days work = 11/24/11 = 1/24Therefore, C alone can finish the work in 24 days.Ans.Q. 67.A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days. The number of days after which A left the work was:(a) 6(b) 8(c) 9(d) 12(e) None of theseAns: (c) 9Explanation:A and B together can finish the work in 45 40/85 = 360/17 daysA and Bs 1 days work = 17/360As 1 days work = 1/45Bs 1 days work = 1/40Bs 23 days work 1/40 23 = 23/40Remaining work = 1 23/40 = 17/4017/40 of the work is done by A and B together17/40 of the work is done by A and B together in = 17/40/17/360 = 17/40 360/17 days= 9 days.Therefore, A left after 9 days.Ans.Q. 68.A can do a piece of work in 20 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in:(a) 3 days(b) 5 days(c) 7 days(d) 11 days(e) None of theseAns: (b) 5 daysExplanation:A s 1 days work = 1/20Bs 1 days work = 1/12Bs 9 days work = 1/12 9 = Remaining work = A can finish the remaining work in = 1/4/1/20 = 20 = 5 days.Ans.Q. 69.A and B together can complete a work in 3 days. They start together. But, after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in(a) 5 days(b) 6 days(c) 9 days(d) 10 days(e) None of theseAns: (b) 6 daysExplanation:A and Bs 1 days work = 1/3Their 2 days work = 1/3 2 = 2/3Remaining work = 1/31/3 of the work is finished by A in 2 daysThen, the whole work can be finished by A alone in 3 2 = 6 daysSo, As 1 days work = 1/6Therefore, Bs 1 dayswork = 1/3 1/6 = 1/6Therefore, the whole work can be done B alone in 6 days.Ans.Q. 70.A man, a woman and a boy together complete a piece of work in 3 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman take to complete the work?(a) 9 days(b) 21 days(c) 24 days(d) 27 days(e) None of theseAns: (a) 9 daysExplanation:(Man + Boy + Woman)s 1 days work = 1/3Mans 1days work = 1/6Boys 1 days work = 1/18Then, Woman 1 days work = 1/3 ( 1/6 + 1/18) = 1/3 4/18 =2/18 = 1/9Therefore, the Woman alone can finish the work in 9 days.Ans.Q. 71.A can do 1/3 of a work in 5 days and B can do 2/5 of the work in 10 days. In how many days both A and B together can do the work?(a) 7 (b) 8 4/5(c) 9 3/8(d) 10(e) None of theseAns: (c) 9 3/8Explanation:A can do finish the whole work in 3 5 days = 15 daysB can finish the whole work in 5 /2 10 days = 25 daysA and B together can finish the work in 15 25/ 40 days = 9 3/8 days.Ans.Q. 72.A and B can do a piece of work in 12 days; B and C can do it in 15 days and C and A can do it in 20 days. A alone can do the work in:(a) 15 2/3 days(b) 24 days(c) 30 days(d) 40 days(e) None of theseAns: (c) 30 daysExplanation:2 (A + B + c)s 1 days work = 1/12 + 1/15 + 1/20 = 12/60 = 1/5A + B + Cs 1 days work = 1/5/2 = 1/10As 1 days work = 1/10 (B + C)s 1 days work = 1/10 1/15 = 1/30Therefore, A alone can finish the work in 30 days.Ans.Q. 73.A and B together can complete a piece of work in 8 days while B and C together can do it in 12 days. All the three together can complete the work in 6 days. In how much time will A and C together complete the work?(a) 8 days(b) 10 days(c) 12 days(d) 20 days(e) None of theseAns: (a) 8 daysExplanation:As 1 days work = A + B + Cs 1 days work B + Cs 1 days work = 1/6 1/12= 1/12Bs 1 days work = A + Bs 1 days work As 1 days work = 1/8 1/12= 1/24Cs 1 days work = B+ Cs 1 days work Bs 1 days work = 1/12 1/24 = 1/24A +B 1 days work = 1/12 + 1/24 = 3/24Therefore, A and C together will finish the whole work in 24/3 = 8 days.Ans.Q. 74.A can do a work in 4 days, B can do it in 5 days and C can do it in 10 days. A, B and C together can do the work in(a)1 3/5 days(b) 1 9/11 days(c) 2 5/6 days(d) 3 days(e) None of theseAns: (b) 1 9/11 daysExplanation:

When A, B and C can do a work in x, y and z days respectively. Then, the three of them together can finish the work inxyz/ x y + y z + x zdaysThat is, A, B and C together ca do the work in 4 5 10/ 20 + 50 + 40= 4 5 10/110 = 20/11 = 1 9/11 days. Ans.Q. 75.3 men or 5 women can do a work in 12 days. How long will 6 men and 5 women take to finish the work?(a) 4 days(b) 10 days(c) 15 days(d) 20 days(e) None of theseAns: (a) 4 daysExplanation:3 men = 5 women1 woman = 3/5 menSo, 5 women = 3/5 5 = 3 men6 men and 5 women = 6 + 3 = 9 men1 work done = 3 men 12 days3 12 = 9 ? days? days = 3 12/9 = 4 days.Ans.Q. 76.Kamal can do a work in 15 days. Bimal is 50% more efficient than Kamal. The number of days, Bimal will take to do the same piece of work, is(a) 10(b) 10 (c) 12(d) 14(e) None of theseAns: (a) 10Explanation:Kamals 15 days is 150% of No. days taken by Bimal to finish the job.Therefore, the No. of days taken by Bimal = 15/150 100 = 10 days.Ans.Q. 77.A does 20% less work than B. if A can complete a piece of work in 7 hours, then B can do it in(a) 5 hours(b) 5 hours(c) 6 hours(d) 6 hours(e) None of theseAns: (c) 6 hoursExplanation:B can finish the work in 80% of 7 hours of time7 = 15/2Therefore, time taken by B = .8 15/2 = 30/5 = 6 hours.Ans.Q. 78.Ram and Shyam togethercan finish a job in 8 days. Ram can do the same job on his own in 12 days. How long will Shyam take to do the job by himself?(a) 16 days(b) 20 days(c) 24 days(d) 30 days(e) None of theseAns:(c) 24 daysExplanation:If A and B together can do a piece of work in x days and A alone can do the same work in y days, then B alone can do the same work in x y/ y x days.Therefore,the No. of days Shyam take to finish the job alone = 8 12/12 8= 8 12/4 = 24 days.Ans.Q. 79.The rates of working of A and B are in the ratio 3 : 4. The number of days taken by them to finish the work are in the ratio:(a) 3 : 4(b) 9 : 16(c) 4 : 3(d) 3 : 2(e ) None of theseAns: (c) 4 : 3Explanation:The No. of days taken by them = inverse ratio = 4 : 3.Ans.Q. 80.A certain number of men complete a piece of work in 60 days. If there were 8 men more, the work could be finished in 10 days less. How many men were originally there?(a) 30(b) 40(c) 32(d) 36(e) None of theseAns:(b) 40Explanation:Let x be the original number of menThen 1 work done = x 60Then, 60x = (x + 8) 5060x = 50x + 40010 x = 400x = 40.Ans.Q. 81.A does half as much work as B in three- fourth of the time. If together they take 18 days to complete the work, how much time shall B take to do it?(a) 30 days(b) 35 days(c) 40 days(d) 42 days(e) None of theseAns: (a) 30 daysExplanation:Let x be the number of days taken by B alone to finish the whole workThen, A alone will finish the whole work in 3x/4 2 days = 3x/2 days.Then, working together,3x/2 x/3x/2 + x = 18 days3x x/5x = 183x/5 = 18Therefore, the number of days taken by B = x = 18 5/3 = 30 days.Ans.Q. 82.A and B can finish a piece of work in 12 days and 18 days respectively. A begins to do the work and they work alternately one at a time for one day each. The whole work will be completed in(a) 14 1/3 days(b) 15 2/3 days(c) 16 1/3 days(d) 18 2/3 days(e) None of theseAns: (a) 14 1/3 daysExplanation:Both of them together can finish the work (daily working) in 12 18/30 days = 36/5= 7 1/5 days.By working in alternate days, their 2 days work = 5/36Their, 14 days work (because they take more than double of 7 days) = 5/36 7= 35/36Remaining work = 1 35/36 = 1/36Because A started the work, the remaining work is finished by AAs 1 days work = 1/12Therefore, the No. of days taken by A to finish 1/36 work = 1/36/1/12 = 1/3 days.Therefore, the total work is completed in 14 + 1/3 = 14 1/3 days.Ans.Q. 83.A can do a piece of work in 14 days which B alone can do in 21 days. They begin together but 3 days before the completion of the work, A leaves off. The total number of days for the work to be completed is(a) 6 3/5 days(b) 8 days(c) 10 1/5 days(d) 13 days(e) None of theseAns: (c) 10 1/5 daysExplanation:Bs 1 days work = 1/21Bs 3 days work = 1/21 3 = 1/7The remaining work finished by both of them = 1 1/7 = 6/7Both together can finish it in 14 21/35 days = 42/5 daysTheir, 1 days work = 5/42Therefore, the No. of days taken by them together to finish 6/7 work= 6/7/5/42 = 6/7 42/5 =36/5 = 7 1/5 daysTherefore, the total No. of days for the work to be completed = 3 + 7 1/5 = 10 1/5 days.Ans.Q. 84.A and B can finish a piece of work in 30 days. They worked at it for 20 days and then B left. The remaining work was done by A alone in 20 more days. A alone can finish the work in(a) 48 days(b) 50 days(c) 54 days(d) 60 days(e) None of theseAns:(d) 60 daysExplanation:(A + B)s 1 days work = 1/30Their 20days work = 1/30 20 = 2/3Remaining 1/3 work is done by A in 20 daysTherefore, A alone can finish the work in 3 20 = 60 days.Ans.Q. 85.10 women can complete a work in 8 days and 10 children take 12 days to complete the work. How many days will 6 women and 3 children together take to complete the work?(a) 7(b) 8(c) 9(d) 12(e) None of theseAns: (e) None of theseExplanation:1 womens 1 days work = 1/8/10 = 1/801 childs 1 days work = 1/12/10 = 1/1206 womens 1 days work = 1/80 6 = 3/403 childrens 1 days work = 1/120 3 = 1/406 womens + 3 childrens 1 days work = 3 /40 + 1/40 = 1/10Therefore, they will finish the whole work in 10 days.Ans.Q. 86.9 children can complete a piece of work in 360 days; 18 men can complete the same piece of work in 72 days and 12 women can complete it in 162 days. In how many days can 4 men, 12 women and 10 children together complete the piece of work?(a) 68 days(b) 81 days(c) 96 days(d) 124 days(e) None of theseAns:(b) 81 daysExplanation:1 childs 1 days work = 1/360 9 = 1/324010 childrens 1 days work = 1/3241 mans 1 days work = 1/72 18 = 1/12964 mens 1 days work = 1 4/1296 = 1/32412 womens 1 days work = 1/162givenThen, (4 men + 12 women + 10 children)s 1 days work = 1/324 + 1/162 + 1/324= 1/324 + 2/324 + 1/324 = 4/324 = 1/81Therefore, the required No. of days = 81 days.Ans.Q. 87.9 men working 7 hours a day can complete a piece of work in 15 days. How many days can 6 men working for 9 hours a day, complete the same piece of work?(a) 15 days(b) 16 days(c) 16 days(d) 17 days(e) None of theseAns: (d) 17 daysExplanation:1 work done = 9 7 159 7 15 = 6 9 ? days? days = 9 7 15/6 9= 35/2 = 17 days.Ans.Q. 88.A man, a woman and a boy can together complete a piece of work in 3 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman take to complete the work?(a) 9 days(b0 21 days(c) 24 days(d) 27 days(e) None of theseAns: (a) 9 daysExplanation:(1 Man + 1 woman + 1 boy)s 1days work = 1/31 mans 1 day work = 1/61boys 1 days work = 1/18(1 Man + 1 boy) s 1 days work =1/6 + 1/18 = 2/9Therefore, 1 womans 1 days work = 1/3 2/9 = 3-2/9 = 1/9Therefore, the woman alone can finish the work in 9 days.Ans.Q. 89.8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 10 men, 4 women and 10 children together complete the piece of work?(a) 5 days(b) 15 days(c) 28 days(d) 6 days(e) None of theseAns: (d) 6 daysExplanation:1 mans 1 days work = 1/8 12 = 1/9610 mens 1 days work = 1 10/96= 5/481 womans 1 days work = 1/1924 womens 1 days work = 1/192 4 = 1/481 childs 1 days work = 1/24010 childrens 1 days work = 1/24Therefore, (10 men + 4 women + 10 children)s 1 days work = 5/48 + 1/48 + 1/24= 8/48 =1/6The required No. of days = 6 days.Ans.Q. 90.8 men can dig a pit in 20 days. If a man works half as much again a s a boy, then 4 men and 9 boys can dig a similar pit in:(a) 10 days(b) 12 days(c) 15 days(d) 16 days(e) None of theseAns:(d) 16 daysExplanation:1 work done = 8 201 man = 3/2 Boys1 boy = 2/3 menThen, 9 boys = 9 2/3 men = 6 menThen, 4 men + 9 boys = 10 menThen, 8 20 = 10 ?days? days = 8 20/10 = 16 days.Ans.Q. 91.A man and a boy complete a work together in 24 days. If for the last 6 days man alone does the work then it is completed in 26 days. How long the boy will take to complete the work alone?(a) 72 days(b) 20 days(c) 24 days(d) 36 days(e) None of theseAns: (a) 72 daysExplanation:(man + boy)s 1 days work = 1/24Their 20 days work = 1/24 20 = 5/6The remaining 1/6 work is done by the man in 6daysTherefore, the man alone will finish the work in 6 6 days = 36 daysMans 1 days work = 1/36Therefore, boys 1 days work = 1/24 1/36 = 3 2 /72 = 1/72Therefore, the Boy alone will finish the work in 72 days.Ans.Q. 92.A, B and C completed a piece of work costing Rs.1800. A worked for 6 days, B for 4 days and C for 9 days. If their daily wages are in the ratio 5 : 6 : 4, how much amount will be received by A?(a) Rs.800(b) Rs. 600(c) Rs.900(d) Rs.750(e) None of theseAns: (b) Rs. 600Explanation:The new ratio = wages ratio No. of daysA = 5 6 = 30B = 6 4 = 24C = 4 9 = 36Therefore, the ratio of the amount received = 30 : 24 : 36 = 5 : 4 :6Total ratio = 151 unit of ratio = 1800/15 = Rs. 120Therefore, amount received by A = 5 units = 5 120 = Rs.600.Ans.Q. 93.12 men take 36 days to do a work while 12 women complete 3/4thof the same work in 36 days. In how many days 10 men and 8 women together will complete the same work?(a) 6 days(b) 12 days(c) 27 days(d) Data inadequate(e) None of theseAns: (c) 27 daysExplanation:1 mans 1 days work = 1/ 36 12 = 1/43210 mens 1 days work = 10/43212 women can finish the whole work in 4 36/3 = 48 days1 womans 1 days work = 1/ 48 12 = 1/5768 womens 1 days work = 8/572 = 1/72(10 men + 8 women)s 1 days work = 10/432 + 1/72 = 10 + 6/432 = 16/432= 1/27Therefore, the required No. of days = 27 days.Ans.Q. 94.A is thrice as good a workman as B and therefore is able to finish a job in 60 days less than B. working together, they can do it in(a) 20 days(b) 22 days(c) 25 days(d) 30 days(e) None of theseAns: (b) 22 daysExplanation:B = 3A3A A =60 daysA = 30daysThen, B = 90 days(A + B) = 30 90/ 120 = 45/2 = 22 days .Ans.Q. 95.A works twice as fast as B. if both of them can together finish a piece of work in 12 days, then B alone can do it in(a) 24 days(b) 27 days(c) 36 days(d) 48 days(e) None of theseAns: (c) 36 daysExplanation:B = 2A2A A/3A = 122A/3 = 12A = 18 daysB= 2 18 = 36 daysTherefore, B alone can finish the work in 36 days.Ans.Q. 96.A man, a woman and a boy can complete a job in 3 days, 4 days and 12 days respectively. How many boys must assist 1 man and 1 woman to complete thejob in 1/4thof a day?(a) 10(b) 14(c) 19(d) 41(e) None of theseAns: (d) 41Explanation:1 mans 1 days work = 1/3, days work = 1/3 = 1/121 womans 1 days work = , days work = = 1/161 boys 1 days work = 1/12, days work = 1/12 = 1/48Let x be the No. of boys required.Then, (1 man + 1 woman + x boy)s days work1/12 + 1/16 + x/48 = 1=4 + 3 + x= 148i.e. 7 + x= 48andx = 41.Ans.Q. 97.A does 4/5thof a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?(a) 23 days(b) 37 days(c) 37 days(d) 40 days(e) None of theseAns:(c) 37 daysExplanation:A can finish the whole work in 20 5/4 days = 25 daysA and B together finish the whole work in 5 3 days = 15 daysTherefore, B can finish the whole work in25 B/ 25 + B = 1525 B = 15 ( 25 + B)= 375 + 15B10B = 375 and B = 375/10 = 37 days.Ans.Q. 98.A can do 1/4thpart of the work in 10 days, B can do 40% of the work in 40 days and C can do 1/3rdof the work in 13 days. Who will complete the work first?(a) A(b) B(c) C(d) A and C both(e) None of theseAns: (c) CExplanation:The whole work is done by A in 4 10 = 40 daysB can do the whole work in 40/40 100 days = 100 daysC can do the whole work in 3 13 = 39 days.Therefore, the 1stperson to complete the work isC. Ans.Q. 99.A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of a total wages of Rs.3000, A will get:(a) Rs.1200(b) Rs.1500(c) Rs. 1800(d) Rs.2000(e) None of theseAns: (c) Rs.1800Explanation:Ratio of working days of A : B = 10 : 15Therefore, their wages ratio = reverse ratio = 15 : 10Therefore, A will get 15 units of ratioTotal ratio = 251 unit of ratio =3000/25 = 120So, As amount = 120 15 = Rs.1800.Ans.Q. 100. Directions:(Questions 1 to 5):Each of the following questions consists of a question followed by three statements I, II and III. You have to study the question and the statements and decide which of the statement(s) is /are necessary to answer the question.1.In how many days can A and B working together complete a job?I.A alone can complete the job in 30 days.II.B alone can complete the job in 40 daysIII.B takes 10 days more than A to complete the job.(a)I and II only(b) II and III only(c) I and III only(d) Any two of the three (e) All I , II and III2.In how many days can the work be completed by A and B together ?I.A alone can complete the work in 8 days.II.If A alone works for 5 days and B alone works for 6 days, the work gets completed.III.B alone can complete the work in 16 days.(a)I and II only(b) II and III only(c) Any two of the three(d) II and either I or III(e) None of these3.How many workers are required to complete the construction work in 10 days?I.20% of the work can be completed by 8 workers in 8 days.II.20 workers can complete the work in 16 days.III.One-eighth of the work can be completed by 8 workers in 5 days.(a)I only(b) II and III only(c) III only (d) I and III only (e ) Any one of the three.4.In how many days can the work be done by 9 men and 15 women?I.6 men and 5 women can complete the work in 6 days.II.3 men and 4 women can complete the work in 10 days.III.18 men and 15 women can complete the work in 2 days.(a)III only(b) All I, II and III(c) Any two of the three(d) Any one ofthe three(e) None of these5.In how many days can 10 women finish the work?I.10 men can complete the work in 6daysII.10 men and 10 women together can complete the work in 3 3/7 days.III.If 10 men work for 3 days and thereafter 10 women replace them, the remaining work is completed in 4 days.(a)Any two of the three(b) I and II only(c) II and III only(d) I and III only (e) None of theseAnswers with explanations:1.Ans: (d)Any two of the threeExplanation:I.As 1days work = 1/30II.Bs 1 days work = 1/40III.Bs 1 days work = 1/40I and II gives the answer,I and III gives the answer,II and III gives the answer,Therefore, the correct answer is(d). Ans.2.Ans: (c) Any two of the threeExplanation:I.As 1 days work = 1/8II.1 work done = As 5 days work + Bs 6 days workIII.Bs 1 days work = 1/16So, I and II gives the answer,I and III gives the answer,II and III gives the answer.Therefore, the correct answer is(c) .Ans.3.Ans: (e) Any one of the threeExplanation:I.1 workers 1 days work = 1/320, required No. of workers = 320/10 =32.II.1 workers 1 days work = 1/320III.1 workers 1 days work = 1/320Therefore, I alone gives the answerII alone gives the answerIII alone gives the answerTherefore, the correct answer is(e). Ans.4.Ans: (c) Any two of the threeExplanation:I.Gives, the linear equation 6x + 5y = 6II.Gives, the linear equation 3x + 4 y = 10III.Gives, the linear equation 18x + 15 y = 2i.e. Any two of the equations gives the correct answer.Therefore, the correct answer is(c) Ans.5.Ans: (b) I and II onlyExplanation:I.Gives, 1 mans 1 days work = 1/60II.I and II gives 1 womans 1 days work = 1/80III.(10 men + 10 women)s 1 days work = 1/7Therefore, I and II gives the answerSo, the correct answer is(b). Ans.

Solution to Mitul Sharma's Question on Time and Work

Question:A certain work can be done in a certain time by 25 men.With 5 men less it could have been done in 3 days more.Inwhat time can it be done by 40 men.Solution:let x be the time taken by 25 men to complete the work in days.Then, 25 * x = 20 * (x + 3) 25x = 20x+ 60 x = 12Then, 40 men will compete the work in = 25 * 12/40 = 15/2 =7 1/2 days.

time work wages

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