 # Find Speed, Distance and Time

In this worksheet, students practise finding speed, distance and time. Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   AQA, Eduqas, Pearson Edexcel, OCR

Curriculum topic:   Ratio, Proportion and Rates of Change, Mensuration

Curriculum subtopic:   Ratio, Proportion and Rates of Change, Units and Measurement

Difficulty level:   ### QUESTION 1 of 10

One of the most common questions that you are likely to get when looking at compound units are speed, distance and time calculation (the others being density, mass, volume and pressure,force, area).

The hardest part of completing questions about speed, distance and time is remembering the formulas.

How to find the formulas.

The easiest way to do this is to memorise the formula triangle. We can then use this to find the formulas. How do we use this?

Simple, just highlight the thing you are trying to find (i've done it with a red circle) and the formula will be what's left.  Example 1: A car travels at 40 mph for 3 hours. How far does it go?

The first step in these calculations is always to decide what you are trying to find. For this one, we are asked 'how far...' so this is a distance question.

D = S x T

Now we can plug in our numbers

D = 40 x 3 = 120

The last question that you need to ask is what the units are. The trick here is that they are always the same as one of the other units. The speed here is given in miles per hour, so the distance must be in miles.

Distance = 120 miles.

Example 2: A bike travels 100 m in 5 seconds. What is it's average speed?

Once again, we need to decide which formula. Don't worry that it asks for average speed, we can use the same formulas.

S = D ÷ T

Plugging in our numbers gives...

S = 100 ÷ 5 = 20

Our units are metres divided by seconds, or metres per second (remember, the units are in the question).

Speed = 20 m/s

To find the speed, we divide...

A car travels 80 miles in 2 hours. What is it's average speed?

40 mph

160 mph

Find the average speed of a car that travels 280 miles in 4 hours.

Don't worry about the units for this question

To find distance we multiply...

A car travels at 50 km/h for 4 hours. Is this distance travelled...

200 km

12.5 km

How far does someone travel if they cycle at 25 m/s for 28 seconds?

Don't worry about the units for this question

To find the time, we divide

A train travels 70 miles at 10 mph. How long does the journey take?

7 hrs

700 hrs

How long will a man take to run 40 miles at a speed of 8 miles per hour.

Don't worry about the units for this question

Match the distances and speed with the time taken for each journey.

## Column B

50 miles, 25 mph
4.5 hours
10 km, 4 hours
16 seconds
400m, 25 m/s
2 hrs 15 minutes
9 miles, 2 mph
2 hours
• Question 1

To find the speed, we divide...

EDDIE SAYS
Just remember, we need to look at the formula triangle and look at what's left. If I cover up speed, I get distance divided by time.
• Question 2

A car travels 80 miles in 2 hours. What is it's average speed?

40 mph
EDDIE SAYS
It's all about the formulas. Speed = distance ÷ time So we just have to substitute our numbers in to get 80 ÷ 2
• Question 3

Find the average speed of a car that travels 280 miles in 4 hours.

Don't worry about the units for this question

EDDIE SAYS
Using the formula again Speed = Distance ÷ Time Speed = 280 ÷ 4
• Question 4

To find distance we multiply...

EDDIE SAYS
Just remember, we need to look at the formula triangle and look at what's left. If I cover up distanced, I get speed multiplied by time
• Question 5

A car travels at 50 km/h for 4 hours. Is this distance travelled...

200 km
EDDIE SAYS
It's all about the formulas. Distance = Speed x time So we just have to substitute our numbers in to get 50 x 4
• Question 6

How far does someone travel if they cycle at 25 m/s for 28 seconds?

Don't worry about the units for this question

700
EDDIE SAYS
Using the formula again Distance = Speed x time Distance = 25 x 28
• Question 7

To find the time, we divide

EDDIE SAYS
Just remember, we need to look at the formula triangle and look at what's left. If I cover up time, I get distance divided by speed
• Question 8

A train travels 70 miles at 10 mph. How long does the journey take?

7 hrs
EDDIE SAYS
It's all about the formulas. time = distance ÷ speed So we just have to substitute our numbers in to get 70 ÷ 10
• Question 9

How long will a man take to run 40 miles at a speed of 8 miles per hour.

Don't worry about the units for this question

5
EDDIE SAYS
Using the formula again Time = Distance ÷ Speed Time = 40 ÷ 8
• Question 10

Match the distances and speed with the time taken for each journey.

## Column B

50 miles, 25 mph
2 hours
10 km, 4 hours
2 hrs 15 minutes
400m, 25 m/s
16 seconds
9 miles, 2 mph
4.5 hours
EDDIE SAYS
A couple of these are really easy, it\'s just a divide after all. The ones that catch people out are the ones that don\'t give a whole number. If you got an answer of 4.5 hours and the question asked for hours and minutes, the 4 represents 4 hours but don\'t forget that 0.5 hours is 30 minutes, not 50
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