 # Speed, Distance and Time

In this worksheet, students work out average speeds, total distances and total times taken in the given journeys. Key stage:  KS 3

Curriculum topic:   Ratio, Proportion and Rates of Change

Curriculum subtopic:   Solve Problems Involving Compound Units

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, it increases and it decreases.

You should know the following formulae and may use the triangle to help you remember the three Distance, Speed, Time formulae. Example 1

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

Example 2

During a car journey, John travels at an average speed of 90 km/h for 2 hours 30 minutes.  Find the distance travelled.

Distance = Speed x Time

The units must match so time must be measured in hours.

Distance = 90 x 2½ = 225 km

During a car journey, John travels at an average speed of 85 km/h for 2 hours.

Find the distance travelled in km.

(just write the number)

A train travels 195 km in 3 hours.

Find the average speed in km/h.

(just write the number)

A car travels 144 miles at a speed of 48 mph.

Find the time taken in hours.

(just write the number)

A train travels 180 miles in 1¼ hours.

Find the average speed in mph.

(just write the number)

A car travels the 36 miles from Liverpool to Manchester in 40 minutes.

Find the average speed in mph.

(just write the number)

A car travels the 10.5 miles from Leeds to Bradford at an average speed of 42 mph.

Find the time taken in minutes.

(just write the number)

A cyclist travels an average speed of 22 mph for 30 mins.

Find the total distance travelled in miles.

(just write the number)

A plane flies from London to Rome at an average speed of 668 km/h.  The flying time is 2¼ hours.

Find the distance travelled by the plane in km.

(just write the number)

A plane flies at an average speed of 755 km/h from London to New York, on a route that is 5285 km long.

Find the time taken in hours.

(just write the number)

The speed of light is approximately 300 000 km/s.

The average distance from the sun to the earth is 150 000 000 km.

Find the time taken for light to travel from the sun to the earth in seconds.

(just write the number)

• Question 1

During a car journey, John travels at an average speed of 85 km/h for 2 hours.

Find the distance travelled in km.

(just write the number)

170
EDDIE SAYS
D = S x T 85 × 2
• Question 2

A train travels 195 km in 3 hours.

Find the average speed in km/h.

(just write the number)

65
EDDIE SAYS
S = D ÷T 195 ÷ 3
• Question 3

A car travels 144 miles at a speed of 48 mph.

Find the time taken in hours.

(just write the number)

3
EDDIE SAYS
T = D ÷ S 144 ÷ 48
• Question 4

A train travels 180 miles in 1¼ hours.

Find the average speed in mph.

(just write the number)

144
EDDIE SAYS
S = D ÷ T 180 ÷ 1.75
• Question 5

A car travels the 36 miles from Liverpool to Manchester in 40 minutes.

Find the average speed in mph.

(just write the number)

54
EDDIE SAYS
S = D ÷ T 36 ÷ (2/3)
• Question 6

A car travels the 10.5 miles from Leeds to Bradford at an average speed of 42 mph.

Find the time taken in minutes.

(just write the number)

15
EDDIE SAYS
T = D ÷ S 10.5 ÷ 42 = 0.25 0.25 x 60
• Question 7

A cyclist travels an average speed of 22 mph for 30 mins.

Find the total distance travelled in miles.

(just write the number)

11
EDDIE SAYS
D = S x T 22 × ½
• Question 8

A plane flies from London to Rome at an average speed of 668 km/h.  The flying time is 2¼ hours.

Find the distance travelled by the plane in km.

(just write the number)

1503
EDDIE SAYS
D = S x T 668 × 2.25
• Question 9

A plane flies at an average speed of 755 km/h from London to New York, on a route that is 5285 km long.

Find the time taken in hours.

(just write the number)

7
EDDIE SAYS
T = D ÷ S 5285 ÷ 755
• Question 10

The speed of light is approximately 300 000 km/s.

The average distance from the sun to the earth is 150 000 000 km.

Find the time taken for light to travel from the sun to the earth in seconds.

(just write the number)

500
EDDIE SAYS
T = D &div: S 150 000 000 ÷ 300 000
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