visit for more papers · visit for more papers download more aptitude questions,reasoning...
TRANSCRIPT
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
PROBLEMS ON TRAINS
1. A train 150 m long is running at a speed of 90kmph. Time taken by
the train to cross a tree is :
Answer :6
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Time = SpeedceDis tan
Answer with Explanation:
Speed of the train = 90 kmph = 90 x 185
= 25 m/sec.
Distance to cross the tree = Length of the train
= 150 m.
∴ Require time = 25
150= 6 sec.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
2. A train 280m long, running with a speed of 63kmhr will pass a pole in:
Answer:12
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Time : SpeedceDis tan
Answer with Explanation:
Speed of the train = 63 km/hr = 63 x 185
= 2
35 m/sec
Distance to pass the pole = Length of the train= 280 m.
∴ Required time = 35
2280x = 16 sec.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
3. A train is moving at speed of 132kmph. If the length of the train is
110 meters, how long will it take to cross a railway platform 165 m long?
Answer :7.5
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Time : SpeedceDis tan
Answer with Explanation:
Speed of the train = 132 kmph = 132 x 185
= 3
110 m/s
Distance covered in passing the platform = Length of the train + Length of the Platform= (110 + 165) = 275 m.
∴ Required time = 110
3275x = 7.5 sec.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
4. In what time will a train 100 meres long cross an electric pole, if its speed is 144 km/hr?2.5 seconds 4.25 seconds 5 seconds 12.5 seconds
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Time : SpeedceDis tan
Answer with Explanation:
Speed of the train = 144 x 185
= 40 m/sec.
Distance covered in passing the electric pole = Length of the train = 100 m.
∴ Required time = 40
100= 2.5 sec.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
5. A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?40 sec 42 sec 45 sec 48 sec
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Time : SpeedceDis tan
Answer with Explanation:
Speed of the train = 45 x 185
= 225
m/sec.
Distance covered in passing the bridge = Length of the train + Length of the bridge = 360 + 140 = 500 m
∴ Required time = 25
2500x= 40 sec.
.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
6. The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is:70 km/hr 75 km/hr 84 km/hr 87.5 km/hr
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Speed = TimeceDis tan
Answer with Explanation:
Given V1 : V2 = 87 ⇒
2
1
VV
= 87
Given V2 = 4
400= 100 km/h.
1001V
= 87
⇒ V1 = 8
700 = 87.5 km/hr.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
7. An express train traveled at an average speed of 100 km/hr, stopping for 3
minutes after every 75 km.. How long did it take to reach its destination 600
km from the starting point?
6 hrs 21min 6 hrs 24 min 6 hrs 27 min 6 hrs 30 min
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Time : SpeedceDis tan
Answer with Explanation:Speed of the train = 100 km hr.Distance = 600 km.
∴ Time taken = 100600
= 6 hrs.
Given the train stops for 3 minutes after every 75 km.
∴ No. of stoppings = 75
600= 8
Omitting the last stopping No. of stoppings = 7Time taken at one stop = 3 min.
∴ Time taken for 7 stops = 7 x 3 = 21 min.∴ Total time taken to reach the destination = 6 hrs 21 min.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
8. A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?230 m 240 m 260 m 270 m
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Distance = Speed x Time
Answer with Explanation:
Length of the train = x m.
Speed of the train = 72 km hr = 72 x 185
= 20 m/secTime taken = 26 sec.Length of the Platform = 250 m.∴ Total Length = (x + 250) m.∴ (x+250) = 20 x 26 = 520
⇒ x+250 = 520
⇒ x = 270
∴ Length of the train = 270 m.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
9. A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km/hr the time taken by it to cover the same distance will be:10 min 11 min 20 sec 13 min 13 min 20 sec
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Speed = TimeceDis tan , Time = Speed
ceDis tan
Answer with Explanation:Given, Distance = 10 km.
Time = 12 min. = 6012
= 51
hr.
∴ Speed = 1
510x = 50 kmphr.
If the speed of the train is decreased by 5 kmphrNew Speed = 50-5 = 45 kmphr.Distance = 10 km.∴ Time taken =
4510
= 92
hrs.
= 902
x 60 = 340
= 13.33 min. ( .33 min. = .33 x 60 sec. = 19.9 sec.) =13 min. 20 sec.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
10. A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?120 cm 240 cm 300 cm 110 cm
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Distance = Speed x Time
Answer with Explanation:
To find the length of the train : Length of the train = x
Speed of the train = 54 km/hr = 54 x 185
= 15 m/sec.
Time taken to cross the man = 20 sec.∴ Length of the train = 15 x 20 = 300 m.
To find the Length of the Platform : -
Length of the platform = ymTime taken to cross the platform = 36 sec. ∴ Total distance covered = Length the train + length of the platform
= 300 + y
∴ 300 + y = 54 x 185
x36 =540
300 + y = 540 ∴ y = 240 m. ∴ Length of the platform = 240 m.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
11. A train 280 m long is moving at 60kmph. The time taken by the train to cross a tunnel 220 m long is: Answer: 30
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Time = SpeedceDis tan
Answer with Explanation:
Speed of the train = 60 x 185
= 3
50m/sec.
Distance covered in passing the tunnel = Length of the train + Length of the tunnel = 280 + 220 = 500 m.
∴ Time taken = 50
3500x = 30 sec.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
12. With a speed of 60kmph a train crosses a pole in 30 seconds. The length of the train is: Answer : 500
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Distance = Speed x Time
Answer with Explanation:
Speed of the train = 60 x 185
= 3
50m/s.
Time taken = 30 sec.∴ Distance =
350
x 30 = 500 m.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
13. A train traveling at a speed of 90kmph crosses a pole in 10 seconds. The length of the train is:
Answer : 250
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Distance = Speed x Time
Answer with Explanation:
Speed of the train = 90 x 185
= 25 m/sec.
Time taken = 10 sec.∴ Distance = 25 x 10 = 250 m.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
14. A train 120 m long crosses a standing man in 15 seconds. The speed of the train is: Answer: 28.8
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Speed = TimeceDis tan
Answer with Explanation:
Distance = 120 m.Time = 15 sec.
∴ Speed = 15
120 = 8 m/sec.
= 8 x 5
18
= 28.8 km/hr
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
15. A train 700 m long is running at 72kmph. If it crosses a tunnel in I minute, the length of the length of the tunnel is: Answer: 500
Difficulty Level : Easy Moderately easy DifficultBasic Formula:
Distance = Speed x Time
Answer with Explanation:
Speed of the train = 72 km/hr = 72 x 185
= 20 m/sec.
Time taken = 1 min. = 60 sec.Length of the train = 700 m.Length of the tunnel = x m∴ Total length = (700 + x) m.∴ (700 + x) = 20 x 60
700 + x = 1200 x = 500
∴ Length of the tunnel = 500 m.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
16.The length of a brigade which a train 130 m long and traveling at 45kmph can cross in 30 seconds, is: Answer: 245
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Distance = Speed x Time
Answer with Explanation:
Speed of the train = 45 x 185
= 225
m/sec.
Time = 30 sec.Length of the train = 130 m.Length of the bridge= x m
∴ Total Length = (130 + x) m∴ (130 +x) =
225
x 30
130 + x = 375
x =375 – 130 x = 245 m.
∴ Length of the bridge = 245 m.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
17. If a 200 m long train crosses a platform of the same length as that of the train in 20 seconds, then the speed of the train is: Answer: 72
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Speed = TimeceDis tan
Answer with Explanation:Length of the train = Length of the Platform = 200 m.∴ Total length = 200 + 200 = 400 mTime taken = 20 sec.∴ Speed =
20400
= 20 m/s
= 20 x 5
18= 72 km/hr.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
18. A train 60 m long passes a platform 90 m long in 10 seconds. The speed of the train is: Answer: 54
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Speed = TimeceDis tan
Answer with Explanation:Length of the train = 60 m.Length of the Platform = 90 m.∴ Total Distance covered = 60 + 90 = 150 m.Time taken = 10 sec.∴ Speed =
10150
= 15 m/sec.
= 15 x 5
18
= 54 km/hr.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
19. A train 300 m long crossed a platform 900 m long in 1 minute 12 seconds. The speed of the train (in km/hr) is:
Answer: 60
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Speed = TimeceDis tan
Answer with Explanation:Length of the train = 300 m.Length of the Platform = 900 m.Total Distance covered = 300 + 900 = 1200 m.Time taken = 1 min. 12 sec. = 72 sec.
∴ Speed = 72
1200=
350
m/sec.
= 3
50x
518
= 60 km/hr.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
20.A train crosses a platform 100 m long in 60 seconds at a speed of 45kmph. The time by the train to cross an electric pole is: Answer: 52 sec
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Distance = Speed x Time, Time = SpeedceDis tan
Answer with Explanation:To find the length of the train :-
Speed of the train = 45 x 185
= 225
m/sec.
Length of the train = x mLength of the Platform = 100 m.∴ Total distance covered = (x + 100) m
Time = 60 sec.∴ 100 + x =
225
x 60 ⇒ 100 + x = 750
⇒ x = 650 m.∴ Length of the train = 650 m.
To find the time taken to cross the pole:-
Distance covered = Length of the train = 650 m.
Required Time = 25
2650x= 52 sec.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
21.A train of length 150 m long takes 40.5 seconds to cross a tunnel of length 300 m the speed of the train(in km/hr) is:Answer: 40
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Speed = TimeceDis tan
Answer with Explanation:
Length of the train = 150 m.Length of the tunnel = 300 m.
∴ Total Distance covered = 150 +300 = 450 m.Time taken = 40.5 sec.
∴ Speed = 5.40
450 x
518
= 40 km/hr.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
22.A train 150 m long takes 20 seconds to cross a platform 450 m long. The speed of the train(in m/sec) is: Answer: 30
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Speed = TimeceDis tan
Answer with Explanation:
Length of the train = 150 m.Length of the Platform = 450 m.∴ Total Distance covered = 450 +150 = 600 m.
Time taken = 20 sec.∴ Speed =
20600
= 30 m/s.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
23.A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is: Answer: 150
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Speed = TimeceDis tan
Answer with Explanation:To find the speed while crossing the Platform:-
Length of the train = x m.Length of the Platform = 100 m.∴ Total Distance covered = (100 + x) m
Time taken = 25 sec.∴ Speed =
25100 x+
__________________ 1
To find the speed while crossing the Pole:-
Distance covered = Length of the train = x mTime taken = 25 sec. ∴ Speed =
15x
________________________ 2
1 = 2 ⇒ 25
100 x+ =
15x
⇒ 15 (100+x) = 25 x
⇒ x = 150 m..
∴ Length of the train = 150 m.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
24. A train takes 18 seconds to pass completely though a station162 m long and 15 seconds though another station 120 m long. The length of the train is:Answer: 90
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Speed = TimeceDis tan
Answer with Explanation:To find the speed while crossing the First Station:-
Length of the train = x m.Length of the First Station = 162 m.∴ Total Distance covered = (x+162) m
Time taken = 18 sec.∴ Speed =
18162+x
__________________ 1
To find the speed while crossing the Second Station:-Length of the Second Station = 120 m.∴ Total Distance covered = (x+120) mTime taken = 15 sec. ∴ Speed =
15120+x
___________________2
1 = 2 ⇒ 18162+x
= 15120+x
⇒ 15 (x+162) = 18 (x+120)
⇒ x = 90 m..
∴ Length of the train = 90 m.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
25. If a train 110 m long passes a telegraph pole in 3 seconds, then the time taken by it to cross a railway platform 165 m long is: Answer: 7.5
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Speed = TimeceDis tan , Time = Speed
ceDis tan
Answer with Explanation:
To find the speed of train while crossing the Pole:-
Length of the train = 110 m. Time taken = 3 sec.∴ Speed =
3110
m/sec.
To find the time taken while crossing the Platform:-
Length of the Platform = 165 mTotal Distance covered = 110 + 165 = 275 m
Speed of the train = 3
110m/s
∴ Time taken = 110
3275x = 7.5 sec.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
26. A train 110 m long is traveling at a speed of 59kmph. The time in which it will pass a passer by, walking at 4kmph in the same directions, is: Answer: 71/3
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Time = dlativeSpeeceDis
Retan
Answer with Explanation:Speed of the train = 59 km/hr.Speed of the man = 4 km/hr.Since both are in the same direction Relative speed = (59-4) = 55 km/hr.Length of the train = 110
∴ Time = 55518110
xx
= 5
36
∴ Time = 751
sec.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
27.A train 150 m long moving at a speed of 35 meters per second overtakes a man moving at 5 meters/sec in opposite direction. The train will pass the man in: Answer: 5
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Time = dlativeSpeeceDis
Retan
Answer with Explanation:Speed of the train = 35 m/sSpeed of the man = 5 m/sSince both are moving in opposite direction Relative speed = (35+5) = 40 m/sec.Length of the train = 150 m
∴ Time = 40
150 = 3.75 sec.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
28. Two trains each 200 m long are running on parallel rails at the rate of 40kmph and 45kmph respectively. In how much time will they cross each other, if they are running in the same direction? Answer: 288
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Time = dlativeSpeeceDis
Retan
Answer with Explanation:Distanced covered = Total length of the two trains
= 200 + 200 = 400 m.Speed of the First train = 40 kmph.Speed of the Second train = 45 kmph.Since both the trains are moving in the same directionRelative speed = 40-45 = 05 kmph.
Relative speed = 5x 185
= 1825
m/s
∴ Time taken = 25
18400x
= 288 sec.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
29. Two trains 126 m and 114 m long are running in opposite directions, one at the rate of 30kmph and another one at 42kmph. From the moment they meet will cross each other in: Answer: 12
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Time = dlativeSpeeceTotalDis
Retan
Answer with Explanation:
Distance covered = Total length of the two trains = 126 + 114 = 240 m.
Speed of the First train = 30 kmph.Speed of the Second train = 42 kmph.Relative speed = (30+42) = 72 kmph.
= 72 x 185
= 20 m/sec.
∴ Time taken = 20240
= 12 sec.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
30.A train 270 m long is moving at a speed of 24kmph. It will cross a man coming form the Opposite direction at a speed of 3kmph, in: Answer: 36
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Time = dlativeSpeeceDis
Retan
Answer with Explanation:
Length of the train = 270 m.Distance covered = Length of the train = 270 m.Speed of the train = 24 kmph.Speed of the man = 3 kmphSince the train and the man are moving in opposite direction Relative speed = (24+3) = 27 kmph
= 27 x 185
= 2
15 m/sec.
∴ Required Time = 15
2270x = 36 sec.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
31.A train 125 m long passes a man, running at 5 kmph in the same direction
in which rate train is going in 10 seconds. The speed of the trains is :
Answer : 50
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Relative Speed = TimeceDis tan
Answer with Explanation:
Length of the train = 125 m.Time taken = 10 sec.
Speed of the train = x kmphSpeed of the man = 5 kmphSince the train and the man are moving in the same direction
Relative speed = (x – 5) x 185
m/sec.
∴ (x -5) 185
= 10125
⇒ x-5 = 45
∴ x = 50 m/s.
∴ Speed of the train = 50 m/sec.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
32. A train 110 m long passes a man, running at 6 kmph in the direction
opposite tot hat of the train, in 6 secs. The speed of the train is
Answer : 60
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Relative Speed = TimeceDis tan
Answer with Explanation:
Length of the train = 110 m
Time taken = 6 sec.
Speed of the train = x kmph
Speed of the man = 6 kmph
Since the train and the man are moving in the opposite direction
Relative speed = (x +6) x 185
m/sec.
∴ (x +6) x 185
= 6
110 ⇒ x+6 = 66
∴ x = 60 m/sec.
∴ Speed of the train = 60 m/sec.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
33. A train overtakes two persons who are walking in the same direction in
which the train is going, at the rate of 2 kmph and 4 kmph and passes them
completely in 9 and 10 seconds respectively. The length of the train is :
Answer: 50
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Relative speed = Time
ceDis tan
Answer with Explanation: Length of the train = x m
Speed of the train = S kmph.
To find the relative speed of the train crossing the first man :-
Speed of the First man = 2 kmph., Time = 9 sec.
Relative speed = (S-2) 185
m/sec.
∴ (S-2) x 185
= 9x
⇒ S = 5
2x+2 ______________ 1
To find the relative speed of the train crossing the second Man:-
Speed of the second man = 4 kmph, Time = 10 sec.
∴ Relative speed = (S-4) x 185
m/sec.
∴ (S-4) x 185
= 10x ⇒ S =
259x
+4 ______________ 2
1 = 2 ⇒ 5
2x+2 =
259x
+4 ⇒ x = 50 m. ∴ Length of the train = 50 m.
Visit www.downloadmela.com for more papers
Download More Aptitude Questions,Reasoning questions,Puzzles
34. Two stations A and B are 110 km apart on a straight line. One train starts
from A at 7 am and towards B at 20 kmph. Another train starts from B at 8
am and travels towards A at a speed of 25 kmph. At what time will they
meet?
Answer : 10 am
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Distance = Speed x Time
Answer with Explanation:
Suppose the two trains meet x hrs after 7 am
Distance covered by A in x hrs = 20 x x km.
Distance covered by B in (x-1) hrs = 25 (x-1) km.
Given distance between the two stations = 110 km.∴ 20 x + 25 (x-1) = 110
45 x = 135
x = 3 hrs.
∴ The two trains meet at 10 am.