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IMSO 2008 Mathematics — Taiwan Selection Second Round Short Answer Question 5

IMSO Maths · IMSO 2008 Mathematics — Taiwan Selection Second Round Short Answer

Question 5

Jane and her dog Jimmy have a favorite walk in which they cover a total of 32 km between them. On the outward journey, Jimmy runs four times as far as Jane walks, and on the return he covers twice the distance she does. Jane comes back by the same route as she followed on the outward journey. How far does she walk?