# Calculate Speed, Distance and Time

In this worksheet, students will 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

Popular topics:   Ratio worksheets

Difficulty level:

#### Worksheet Overview

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 11:30 and arrives in Portsmouth at 12:20.  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

We have the distance and the time taken, and need to find the speed.

We look at our formula triangle and we can see that we need to do distance ÷ time to find the speed.

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.

If we look at the formula triangle, we can see that we need to do: Distance = Speed x Time

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

Distance = 90 x 2½ = 225 km

Let's have a go at some questions now. If you need to remind yourself of the formulae or have another look at the triangle, just click on the red button and you will be able to see this introduction again.

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