If you cycle to school at an average speed of **ten** miles per hour then cycle home at an average speed of **twenty** miles per hour what is your average cycling speed overall?

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Average Speed = Total distance / Total time

Let the distance to school be d

Time for the outward journey: d/10 Time for return journey = d/20

So Total time = d/10 + d/20 = 3d/20

Total distance = 2d

So Average Speed = 2d / (3d/20)

= 40/3

= 13.3 miles per hour correct to three significant figures

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