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Time Speed and Distance - 25 March 2022 Use the correct formula (RULE) and workout a time, speed or distance problem Level 7 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

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Time Speed and Distance - 18 April 2023

Use the correct

formula (RULE) and workout a

time, speed or distance problem

Use the correct

formula (RULE) and workout a

time, speed or distance problem

Level 7

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

To describe a speed. the letters m.p.h.

are abbreviations (stand for) (means) for

A: mum please hurry

C: my police hat

B: miles per hour

D: more power helps

B: miles per hour

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

If you are travelling at a speed of 30 m.p.h.How far will you travel in one hour?

A: 3 miles

C: 300 miles

B: 30 miles

D: 3000 miles

B: 30 miles

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

A person is walking at a speed of 5 m.p.h. What distance will it travel in a

time of 2 hours?

A: 5 + 2 = 7 miles B: 5 x 2 = 10 miles

D: 5 ÷ 2 = 2½ milesC: 5 – 2 = 3 miles

B: 5 x 2 = 10 miles

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

I am cycling at a speed of 10 miles per hour. What distance will I travel in a

time of 3 hours?

A: 10 + 3 = 13 miles

C: 10 – 3 = 7 miles

B: 10 ÷ 3 = 3 1/3 miles

D: 10 x 3 = 30 milesD: 10 x 3 = 30 miles

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

I am walking at a speed of 3 miles per hour. What distance will I have travelled in a

time of 2 hours?

A: 3 x 2 = 6 miles

C: 3 – 2 = 1 miles

B: 3 + 2 = 5 miles

D: 3 ÷ 2 = 1 r 1 miles

A: 3 x 2 = 6 miles

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

I am riding at a speed of 30 miles per hour. What distance will I travel in a

time of 2 hours?

A: 30 + 2 = 32 miles

C: 30 x 2 = 60 miles

B: 30 ÷ 2 = 15 miles

D: 30 - 2 = 28 milesC: 30 x 2 = 60 miles

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

A train is travelling at a speed of 100 miles per hour.

What distance will it travel in a time of 4 hours?

A: 100 + 4 = 104miles

C: 100 x 4 = 400 miles

B: 100 ÷ 4 = 25 miles

D: 100 - 4 = 96 milesC: 100 x 4 = 400 miles

What do you do to speed and time if you want to find the distance?

A: Speed + Time

C: Speed x Time

B: Speed - Time

D: Speed ÷ Time C: Speed x Time

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

Distance = Time x Speed D = S x TD miles S

m.p.h.T hours D

milesS m.p.h.

T hours

1. 4 2 3. 20 52. 10 3 4. 30 4

Speed = Distance ÷ Time S = D ÷ TD miles S

m.p.h.T hours D

milesS m.p.h.

T hours

5. 10 2 7. 100 26. 12 3 8. 240 4

Time = Distance ÷ Speed T = D ÷ SD miles S

m.p.h.T hours D

milesS m.p.h.

T hours

9. 8 4 11.

500 250

10.

12 6 12.

720 80

4 x 2

10 ÷ 2

8 ÷ 4

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

Distance = Time x Speed D = S x TD miles S

m.p.h.T hours D

milesS m.p.h.

T hours

1. 8 4 2 3. 100 20 52. 30 10 3 4. 120 30 4

Speed = Distance ÷ Time S = D ÷ TD miles S

m.p.h.T hours D

milesS m.p.h.

T hours

5. 10 5 2 7. 100 50 26. 12 4 3 8. 240 60 4

Time = Distance ÷ Speed T = D ÷ SD miles S

m.p.h.T hours D

milesS m.p.h.

T hours

9. 8 4 2 11.

500 250 2

10.

12 6 2 12.

720 80 9© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

Dis (miles) Time (hours) Speed (mph)

A 2 4

B 4 20

C 12 4

D 18 3

E 24 4

F 48 6

G 3 5

H 7 10

I 30 10

J 16 8

K 80 4

L 60 5

D

S T

D = S X T S = D ÷ TT = D ÷ S

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

Dis (miles) Time (hours) Speed (mph)

A 8 2 4

B 80 4 20

C 12 3 4

D 18 6 3

E 24 4 6

F 48 6 8

G 15 3 5

H 70 7 10

I 30 3 10

J 16 2 8

K 80 4 20

L 60 5 12

D

S T

D = S X T S = D ÷ TT = D ÷ S

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

Distance = Time x Speed D = S X T Speed = Distance ÷ Time S = D ÷ TTime = Distance ÷ Speed T = D ÷ S

1. D = S x T

D = 4 x 2

D = 8 miles

2. A cyclist travels 20 miles in 2 hours. What is the cyclist’s speed?

1. I walk at 4 mph for 2 hours. What distance have I travelled?

2. S = D ÷ T

S = 20 ÷ 2

S = 10 mph

3. A horse travels 20 miles at a speed of 10 mph. How long in time will this take?

3. T = D ÷ S

T = 20 ÷ 10

T= 2 hours

D

S T

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

6. T = D ÷ S

T = 1200 ÷ 300

T = 4 hours

5. S = D ÷ T

S = 120 ÷ 2

S = 60 mph

4. D = S x T

D = 25 x 4

D = 100 hours

4. A car travels at 25 mph for 4 hours. What distance has it travelled?

5. An train travels a distance of 120 miles in 2 hours. What is the train’s speed?

6. A plane covers a distance of 1200 miles at a speed of 300 mph. How long will it take to complete this journey?

Distance = Time x Speed D = S X T Speed = Distance ÷ Time S = D ÷ TTime = Distance ÷ Speed T = D ÷ S

D

S T

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

7. A cyclist travels a distance of 45 miles in 3 hours. What is the cyclist’s speed?

8. A train travels at 65 mph for 5 hours. What distance will it have travelled?

9. A plane flies for a distance of 1000 miles at a speed of 200 mph. How long in time will this journey be?

10. In a competition, it is necessary to swim 8 miles then cycle 20 miles and finally run 18 miles. I a competitor can swim at 4 mph, cycle at 20 mph and run at 6 mph, how long will it take to complete the competition if there is a break of 45 minutes between each activity?

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

7. A cyclist travels a distance of 45 miles in 3 hours.

What is the cyclist’s speed? 15 mph

8. A train travels at 65 mph for 5 hours. What distance

will it have travelled? 325 miles

9. A plane flies for a distance of 1000 miles at a speed of 200 mph. How long in time will this journey be?

5 hours

10. In a competition, it is necessary to swim 8 miles then cycle 20 miles and finally run 18 miles. I a competitor can swim at 4 mph, cycle at 20 mph and run at 6 mph, how long will it take to complete the competition if there is a break of 45 minutes between each activity?

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

Swim

Time = D ÷ S

Time = 8 ÷ 4

Time = 2 hours

Cycle

Time = D ÷ S

Time = 20 ÷ 20

Time = 1 hour

Run

Time = D ÷ S

Time = 18 ÷ 6

Time = 3 hoursBreaks

2 breaks each 45 minutes long

2 x 45 = 90 minutes

Total Time

Swim 2.00Cycle 1.00Run 3.00 Breaks 1.30Total 7.30

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

How to change hours and minutes into decimal hours

2 hours 48 minutes

2.8 hours

48 ÷ 60 = 0.8

48 ÷ 60 = 0.8

How to decimal hours into hours and minutes

2.8 hours

2 hours 48 minutes

0.8 x 60 = 48

0.8 x 60 = 48

min ÷ 60min ÷ 60

Decimal x 60

Decimal x 60

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

Distance (miles) Time (hours) Speed (mph)

A 2hrs 24 min 4

B 4 hrs 30 min 20

C 15 4

D 22 3

E 25 4

F 40 6

G 3hrs 24 min 5

H 7hrs 32 min 10

I 35 10

J 27 8

K 80 4hrs 45 min

L 60 5hrs 48 min© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

Distance (miles) Time (hours) Speed (mph)

A 1.67 2hrs 24 min 4

B 4.44 4 hrs 30 min 20

C 15 3 hr 45 min 4

D 22 7 hr 20 min 3

E 25 4 6.25

F 40 6 6.67

G 17 3hrs 24 min 5

H 75.33 7hrs 32 min 10

I 35 3 hrs 30 min 10

J 27 3 hrs 23 min 8

K 80 4hrs 45 min 16.84

L 60 5hrs 48 min 10.34© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

Distance = Time x Speed D = S X T Speed = Distance ÷ Time S = D ÷ TTime = Distance ÷ Speed T = D ÷ S

1. D = S x T

D = 4 x 2.5

D = 10 miles

2. A cyclist travels 20 miles in 2 hours and 15 minutes. What is the cyclist’s speed?

1. I walk at 4 mph for 2 hours and 30 minutes. What distance have I travelled?

2. S = D ÷ T

S = 20 ÷ 2.25

S = 8.89 mph

3. A horse travels 25 miles at a speed of 10 mph. How long in time will this take?

3. T = D ÷ S

T = 25 ÷ 10

T= 2.5 hours

T = 2 hrs 30 min

D

S T

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

6. T = D ÷ S

T = 1200 ÷ 375

T = 3.2 hours

T = 3hrs 12 minutes

5. S = D ÷ T

S = 150 ÷ 2.2

S = 68.18 mph

4. D = S x T

D = 35 x 4.25

D = 148,75 miles

4. A car travels at 35 mph for 4 hours and 15 minutes. What distance has it travelled?

5. An train travels a distance of 150 miles in 2 hours and 12 minutes. What is the train’s speed?

6. A plane covers a distance of 1200 miles at a speed of 375 mph. How long will it take to complete this journey?

Distance = Time x Speed D = S X T Speed = Distance ÷ Time S = D ÷ TTime = Distance ÷ Speed T = D ÷ S

D

S T

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

4. A cyclist travels a distance of 48 miles in 5 hours. What is the cyclist’s speed?

5. A train travels at 78 mph for 5 hours and 12 minutes. What distance will it have travelled?

6. A plane flies for a distance of 1050 miles at a speed of 275 mph. How long in time will this journey be?

7. In a competition, it is necessary to swim 10 miles then cycle 25 miles and finally run 20 miles. I a competitor can swim at 4 mph, cycle at 20 mph and run at 6 mph, how long will it take to complete the competition if there is a break of 45 minutes between each activity?

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

7. A cyclist travels a distance of 48 miles in 5 hours.

What is the cyclist’s speed? 9.6 mph

8. A train travels at 78 mph for 5 hours 12 minutes.

What distance will it have travelled? 405.6 miles

9. A plane flies for a distance of 1050 miles at a speed of 275 mph. How long in time will this journey be?

3 hours 49 minutes

10. In a competition, it is necessary to swim 10 miles then cycle 25 miles and finally run 20 miles. I a competitor can swim at 4 mph, cycle at 20 mph and run at 6 mph, how long will it take to complete the competition if there is a break of 45 minutes between each activity?

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

Swim

Time = D ÷ S

Time = 10 ÷ 4

Time = 2.5 hrs

Cycle

Time = D ÷ S

Time = 25 ÷ 20

Time = 1.25 hrs

Run

Time = D ÷ S

Time = 20 ÷ 6

Time = 3.67 hrs

Breaks

2 breaks each 45 minutes long

2 x 45 = 1.5 hours

Total Time

Swim 2.5Cycle 1.25Run 3.67 Breaks 1.5Total 8.928 hours and 55 minutes© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk