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'Weekly Problem 38 - 2012' printed from http://nrich.maths.org/

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An athlete covers three consecutive miles by walking the first mile, running the second mile and cycling the third. He runs twice as fast as he walks, and he cycles one and a half times as fast as he runs. He takes ten minutes longer than he would do if he cycled the three miles. How long does he take by walking, running and cycling?

This problem is taken from the UKMT Mathematical Challenges.

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