Lap Times

 The Problem:

Two friends are training at the same running track. In order not to look as if they are directly competing against each other, they run round the track in opposite directions.

Chris normally takes 60 seconds to run a complete lap, but finds that when he and Sophie are running in opposite directions, they cross each other every 24 seconds.

How long is Sophie taking for each lap?

 They then decide to run in the same direction, and set off together.

 How long will it be before one of them ‘laps’ the other?

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Last modified: June 18, 2007