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Australian AMC 2016 - Intermediate Question 20

AMC AUSTRALIA · Australian AMC 2016 - Intermediate

Question 20

This pedal-powered water pump is made from bicycle parts.

A 30-tooth gear on the pedals has a chain to a 15-tooth gear. On the same axle as the 15-tooth gear is a 32-tooth gear that drives a chain to a 40-tooth gear on the pump.

For every 100 complete revolutions of the pedals, how many times does the gear on the pump turn?

Question illustration
  1. 160
  2. 250
  3. 107
  4. 93
  5. $37\frac12$