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)
= 13.3 miles per hour correct to three significant figures
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