  # 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:   #### 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, 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.

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