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Without any leak, a motor fills a village overhead tank in 4 hours. Because of a leak, the filling actually takes 4 hours 30 minutes. Once the tank is full and the motor is switched off, how many hours will the leak take to empty it?

Competition practiceTime & Work / Pipes
  • A36
  • B18
  • C8.5
  • D32

Step-by-Step Solution

Leak rate = 1/4 − 1/4.5 = 1/4 − 2/9 = 1/36 of the tank per hour, so the leak empties the full tank in 36 hours.
Answer: A) 36

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