# Calculate Average Speed Converting Units

In this worksheet, students will work out simple average speeds when given distance in a fraction of an hour

Key stage:  KS 3

Curriculum topic:   Ratio, Proportion and Rates of Change

Curriculum subtopic:   Solve Problems Involving Compound Units

Difficulty level:

#### Worksheet Overview

In this activity, we are working out average speed but the questions may require a change in units.

What does that mean?

Well, let's recap working out speed first!

Recap

Speed is a measure of distance in relation to time.

For example, a common one is the speed of a car. It is measured in mph or miles per hour or km/h kilometres per hour.

Example

What is the average speed of a car which travels 80 miles in 2 hours?

If the car travels 80 miles in 2 hours, we want to know how far it has travelled in 1 hour for the average speed.

80 ÷ 2 = 40 miles in 1 hour

Therefore, the average speed is 40 mph.

Let's say that instead of giving us the distance in hours it was given in minutes!

Example

Calculate the average speed a a car which travels 25 miles in 30 mins.

In the previous question, we were given 2 hours, so we divided the distance by 2.

This time, the car covers 25 miles in 30 mins so to get this to 1 hour we have to multiply by 2 (because there are 2 x 30 mins in 1 hour).

25 miles x 2 = 50 miles in 1 hour

Average speed = 50 mph

Let's have a go at some questions!

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