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'Weekly Problem 48 - 2008' printed from http://nrich.maths.org/

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An ant is crawling in a straight line from one corner of a table to the opposite corner when he bumps into a one centimetre cube a sugar. Instead of crawling round it, or eating his way through it, he climbs straight up and over it before continuing on his intended route. How much does the detour add to the expected length of his journey?

ant

 

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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