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Australian AMC 2014 - Senior Question 18

AMC AUSTRALIA · Australian AMC 2014 - Senior

Question 18

Two machines move at constant speeds around a circle of circumference 600 cm, starting together at the same point. In the same direction they next meet after 20 seconds; in opposite directions they next meet after 5 seconds. What is the faster speed in centimetres per second?
  1. 60
  2. 65
  3. 70
  4. 75
  5. 85