# Calculate Average Speed

In this worksheet, students will calculate average speeds given, total distance travelled and total time taken to complete a journey.

Key stage:  KS 3

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Derive and Apply Formulae

Difficulty level:

### QUESTION 1 of 10

Speed is an example of a compound measure, which is one that involves more than one unit of measurement.

Speed is a measure of distance (e.g. miles, km) in relation to time (e.g. hours, minutes) and can be measured in mph (miles per hour), km/h etc.

Throughout a typical journey, speed varies. It stays constant, then it may increase or decrease.

We calculate the average speed from the total distance travelled and the total time taken.

Average speed = total distance travelled ÷ total time taken

Example

A train leaves London at 1130 and arrives in Portsmouth at 1220.

The distance between the two stations is 110 km.

Find the average speed in km/h.

First we must state the time taken in hours, not in minutes.

Time taken = 50 minutes = 5/6 hour

Average Speed = total distance ÷ total time

= 110 ÷ 5/6

= 110 × 6/5

= 132 km/h

To test and consolidate your knowledge we'll apply it by answering word problems.

A train leaves London at 1130 and arrives in Brighton at 1230. The distance between the two stations is 80 km.

Find the average speed in km/h.

(Just the number.)

A train travels 189 km from London to Bristol in 1½ hours.

Find the average speed in km/h.

(Just write the number.)

A car travels 144 miles in 2 hours.

Find the average speed in mph.

(Just write the number.)

A train travels 279 miles in 2¼ hours.

Find the average speed in mph.

(Just write the number.)

A car travels the 36 miles from Liverpool to Manchester in ¾ hour.

Find the average speed in mph.

48

84

0.48

27

A car travels the 10.5 miles from Leeds to Bradford in 30 minutes.

Find the average speed in mph.

(Just write the number.)

A cyclist travels the 10.5 miles from Leeds to Bradford in 90 minutes.

Find the average speed in mph.

(Just write the number.)

A plane flies from London to Rome, a distance of 1503 km. The flying time is 2¼ hours.

Find the average speed in km/h.

(Just write the number.)

A plane flies from London to New York, on a route that is 5452 km long. The flying time is 7¼ hours.

Find the average speed in km/h.

(Just write the number.)

A bus leaves Birmingham at 11.10 a.m. and arrives in Rugby at 12.30 p.m. The journey is 56 km long.

Find the average speed in km/h.

(Just write the number and round to the nearest integer.)

• Question 1

A train leaves London at 1130 and arrives in Brighton at 1230. The distance between the two stations is 80 km.

Find the average speed in km/h.

(Just the number.)

80
EDDIE SAYS
First, we must state the time taken in hours, not in minutes. Time taken = 60 minutes = 1 hour Average speed = total distance ÷ total time = 80 ÷ 1 = 80 km/h Don't worry if you struggled with this first question. Hopefully by reading through the explanation, you will now understand the working out required of you.
• Question 2

A train travels 189 km from London to Bristol in 1½ hours.

Find the average speed in km/h.

(Just write the number.)

126
EDDIE SAYS
Time taken in hours = 1.5 hours Average speed = total distance ÷ total time = 189 ÷ 1.5 = 126 km/h Was this easier or more difficult?
• Question 3

A car travels 144 miles in 2 hours.

Find the average speed in mph.

(Just write the number.)

72
EDDIE SAYS
Time taken = 2 hours Average speed = total distance ÷ total time = 144 ÷ 2 = 72 km/h You're making great progress! Let's push on.
• Question 4

A train travels 279 miles in 2¼ hours.

Find the average speed in mph.

(Just write the number.)

124
EDDIE SAYS
Time taken = 2.25 hours Average speed = total distance ÷ total time = 279 ÷ 2.25 = 124 km/h Are you beginning to remember the calculation?
• Question 5

A car travels the 36 miles from Liverpool to Manchester in ¾ hour.

Find the average speed in mph.

48
EDDIE SAYS
Time taken = 0.75 hours Average speed = total distance ÷ total time = 36 ÷ 0.75 = 48 km/h
• Question 6

A car travels the 10.5 miles from Leeds to Bradford in 30 minutes.

Find the average speed in mph.

(Just write the number.)

21
EDDIE SAYS
Time taken = 0.5 hours Average speed = total distance ÷ total time = 10.5 ÷ 0.5 = 21 km/h You're making giant leaps in your progress.
• Question 7

A cyclist travels the 10.5 miles from Leeds to Bradford in 90 minutes.

Find the average speed in mph.

(Just write the number.)

7
EDDIE SAYS
Time taken = 1.5 hours Average speed = total distance ÷ total time = 10.5 ÷ 1.5 = 7 km/h
• Question 8

A plane flies from London to Rome, a distance of 1503 km. The flying time is 2¼ hours.

Find the average speed in km/h.

(Just write the number.)

668
EDDIE SAYS
Time taken = 2.25 hours Average speed = total distance ÷ total time = 1503 ÷ 2.25 = 668 km/h You should be feeling super confident by this point. If you're still struggling don't worry, you always click back to the introduction!
• Question 9

A plane flies from London to New York, on a route that is 5452 km long. The flying time is 7¼ hours.

Find the average speed in km/h.

(Just write the number.)

752
EDDIE SAYS
Time taken = 7.25 hours Average speed = total distance ÷ total time = 5452 ÷ 7.25 = 752 km/h One more question to go, then you can take a well-deserved break!
• Question 10

A bus leaves Birmingham at 11.10 a.m. and arrives in Rugby at 12.30 p.m. The journey is 56 km long.

Find the average speed in km/h.

(Just write the number and round to the nearest integer.)

42
EDDIE SAYS
Time taken = 1.333 hours Average speed = total distance ÷ total time = 56 ÷ 1.333 = 42.010 km/h Great work maths-pro! That's another activity ticked off.
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