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'Weekly Problem 32 - 2008' printed from http://nrich.maths.org/

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Malcolm covers any distance in one-third the time it takes Nikki to run the same distance. They set off in opposite directions round the track as shown.



Where will they meet first time?

 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

 

 

This problem is taken from the UKMT Mathematical Challenges.

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