Bees and Runners

Algebra Level 2

Two runners start 30 kilometers apart, and a bee starts on the first runner's head, and flies directly back and forth between the runners. The runners and the bee start running (and flying) simultaneously. The first runner runs at 10 kph, and the second runs at 20 kph. (The runners run directly towards each other). If the bee flies at 15 kph, how far does the bee fly (in km) up until the time the runners meet?


The answer is 15.

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1 solution

Terry Yu
Apr 5, 2017

Most people are going to find that you have to add up a ton of numbers, but all you have to find out is the time the bee flies for. The runners meet in a hour (the first runner runs 10 kilometers at 10 km per hour, and the second runner runs at 20 kilometers per hour for 20 kilometers, and they run 30 kilometers in all), so the bee flies for an hour at 15 kilometers per hour, which means the bee flies for the 15 kilometers.

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