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IMAS 2015 — Upper Primary Grades 5–6 — Round 2 Question 7

IMAS · IMAS 2015 — Upper Primary Grades 5–6 — Round 2

Question 7

The diagram shows a path consisting of four semi-circular arcs. Each arc is of length 100 m and uses a different side of a square as its diameter. Initially, Jane is at A and Yves at B. They start walking counter-clockwise at the same time. Jane’s speed is 120 m per minute and Yves’s is 150 m per minute. Each pauses for 1 second whenever they are at the points A, B, C or D. How many seconds after starting will Yves catch up for the first time with Jane?

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