Math CentralQuandaries & Queries


Question from Jean, a student:

Achilles and a turtle are having a race. The turtle starts 45m ahead of Achilles and Achilles is twice as fast as the turtle. If turtle runs at 1m/s,how far would the turtle have run before he is outrun by Achilles?

Hi Jean,

Since the tuttle runs at 1 m/s Achilles must run at 2 m/s. Thus Achilles' speed is 1 m/s faster than the turtle's. The turtle start 45m ahead of Achilles. At 1 m/s how long does it take Achilles to make up the 45 m?


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