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Three runners are jogging from North Augusta to Beech Island. Runner 1 runs 14 miles in 3 hours while Runner 2 runs 16 miles in 4 hours. Runner 3 runs 15 miles in 6 hours. What is the average speed of each runner? Then, get the average speed of all the runners together (total distance/total time)

1 Answer

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Step-by-step explanation:

Given that,

Runner 1 runs 14 miles in 3 hours. His average speed is given by :


v_1=(14\ miles)/(3\ h)=4.67\ mph

Runner 2 runs 16 miles in 4 hours. His average speed is given by :


v_2=(16\ miles)/(4\ h)=4\ mph

Runner 3 runs 15 miles in 6 hours. His average speed is given by :


v_3=(15\ miles)/(6\ h)=2.5\ mph

Total distance covered by all three runners, D = 14 + 16 +15 = 45 miles

Total time taken, t = 3 + 4 + 6 = 13 hours

The average speed of all the runners together is given by :


V=(45\ miles)/(13\ h)\\\\V=3.46\ mph

Hence, this is the required solution.

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User Craig Hannon
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