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On a Jaipur rooftop, a tap fills an empty water tank in 9 hours, but a crack at the bottom can drain the full tank in 36 hours. If the tap runs and the crack keeps leaking, in how many hours will the tank fill?

Competition practiceTime & Work / Pipes
  • A12
  • B7.2
  • C27
  • D13.5

Step-by-Step Solution

Net rate = 1/9 − 1/36 = 3/36 = 1/12 of the tank per hour, so the tank fills in 12 hours.
Answer: A) 12

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