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Australian AMC 2015 - Junior Question 23

AMC AUSTRALIA · Australian AMC 2015 - Junior

Question 23

Jill and Jack are exercising at a beach. They both start from the car park at one end of the beach. Jill runs at a constant speed and Jack walks at a constant speed. When Jill turns at the end of the beach to run back, she notices that Jack is then halfway along the beach. How far along the beach will Jack be when Jill next passes him?
  1. Two-thirds of the way
  2. Five-sixths of the way
  3. Three-quarters of the way
  4. Five-eighths of the way
  5. Seven-eighths of the way