Robinson Tuition
Grade 4 · Foundation and Higher · free GCSE maths worksheet

Speed, distance and time

Using the formula triangle and units.

22 original questions, 71 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

Worksheet PDFWorked solutions PDFAnswers PDF

The questions

1

A cyclist rides at an average speed of 24 km/h for 2.5 hours.

Work out the distance the cyclist rides.

2 marks
Show answer
60 km
2

A car travels 150 miles in 3 hours.

Work out its average speed in miles per hour.

2 marks
Show answer
50 mph
3

A train travels at an average speed of 60 km/h.

How long does it take to travel 240 km?

2 marks
Show answer
4 hours
4

A bus travels at an average speed of 36 km/h for 2.5 hours.

Work out the distance it travels.

2 marks
Show answer
90 km
5

Amir drives 130 miles at an average speed of 40 miles per hour.

Work out how long the journey takes. Give your answer in hours and minutes.

3 marks
Show answer
3 hours 15 minutes
6

A gull flies at a speed of 15 metres per second.

Change 15 metres per second to kilometres per hour.

2 marks
Show answer
54 km/h
7

Leila leaves home at 09:40 to drive 84 km at an average speed of 48 km/h.

At what time does she arrive?

3 marks
Show answer
11:25
8

Femi runs 5 km in 25 minutes. She runs at a constant speed.

How long would it take her to run 8 km at the same speed?

3 marks
Show answer
40 minutes
9

A lorry driver travels 48 km at an average speed of 64 km/h, then 63 km at an average speed of 42 km/h.

Work out the total time of the journey. Give your answer in hours and minutes.

3 marks
Show answer
2 hours 15 minutes
10

A cyclist rides at an average speed of 18 km/h.

  1. How far does she ride in 2 hours 20 minutes?
  2. How long does she take to ride 63 km? Give your answer in hours and minutes.
3 marks
Show answer
a) 42 km b) 3 hours 30 minutes
11

Amber runs 15.6 km in 1 hour 30 minutes.

Work out her average speed in km/h.

3 marks
Show answer
10.4 km/h
12

Mia leaves at 08:25 and drives at a constant speed of 72 km/h. She arrives at 11:05.

How far does she drive?

3 marks
Show answer
192 km
13

Jonas must travel 150 km in 2 hours 30 minutes. He drives the first 90 km at an average speed of 72 km/h.

At what average speed must he drive the remaining 60 km to arrive on time?

4 marks
Show answer
48 km/h
14

Sasha cycles at 12 km/h for 45 minutes. Leo runs at 3.5 m/s for 40 minutes.

Who travels further, and by how much? Show your working.

4 marks
Show answer
Sasha, by 0.6 km (600 m)
15

On a map, 1 cm represents 2 km. Two towns are 7.5 cm apart on the map.

A bus travels between the towns at an average speed of 30 km/h. How long does the journey take? Give your answer in minutes.

4 marks
Show answer
30 minutes
16

A lorry driver has to drive 289 miles from Leeds to Plymouth.

Her average speed for the journey is 48 miles per hour.

Work out an estimate for the time the journey takes.

Round both numbers to 1 significant figure before calculating.

4 marks
Show answer
6 hours
17

Amara drives 189 km at an average speed of 62 km/h.

  1. By rounding both numbers to 1 significant figure, work out an estimate for the time her journey takes.

    Give your answer in hours and minutes.

  2. Is your answer to part (a) an underestimate or an overestimate of the actual time?

    Give a reason for your answer.

4 marks
Show answer
a) 3 hours 20 minutes b) Overestimate, because the distance was rounded up and the speed was rounded down
18

Priya drives 90 km on a motorway at an average speed of 60 km/h.

She then drives 50 km on country roads at an average speed of 40 km/h.

Work out her average speed for the whole journey.

Give your answer correct to 1 decimal place.

4 marks
Show answer
50.9 km/h
19

A cyclist travels 5.4 km in 12 minutes at a steady speed.

A sprinter runs at 8 metres per second.

Show that the sprinter is faster than the cyclist.

4 marks
Show answer
Cyclist: 27 km/h = 7.5 m/s, which is less than 8 m/s, so the sprinter is faster
20

A coach leaves Leeds at 09:40 and arrives in Newcastle at 12:10 on the same day.

The distance from Leeds to Newcastle by road is 175 km.

The coach company claims the average speed of the coach was more than 65 km/h.

Work out the average speed of the coach and state whether the claim is correct.

4 marks
Show answer
70 km/h, so the claim is correct
21

A lorry driver drives for 2.5 hours at an average speed of 48 miles per hour.

She then drives for 1 hour 15 minutes at an average speed of 40 miles per hour.

Work out the total distance she drives.

4 marks
Show answer
170 miles
22

Marcus cycles the 60 km from his home to the coast at an average speed of 30 km/h.

He cycles back home along the same route at an average speed of 20 km/h.

Marcus says, "My average speed for the whole ride was 25 km/h, because 25 is halfway between 30 and 20."

Show that Marcus is wrong, and work out his actual average speed for the whole ride.

4 marks
Show answer
24 km/h (the two legs take different times, so the average is not 25 km/h)

Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.

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