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Australian AMC 2017 - Intermediate Question 12

AMC AUSTRALIA · Australian AMC 2017 - Intermediate

Question 12

A rectangular swimming pool is 50 metres long and 20 metres wide. It is divided into ten lanes, each 50 metres long and 2 metres wide, numbered in order from 1 to 10. I notice that if I swim one lap down the middle of the lane, then walk back around the edges of the pool, I have to walk 20% further than I swim. Which of the following could be my lane number?
  1. 1
  2. 2
  3. 3
  4. 4
  5. 5