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A borewell pump fills a farm tank in 34 hours, but a faulty valve can empty the full tank in 51 hours. If the pump runs with the valve open on an empty tank, how many hours will the tank take to fill?

Competition practiceTime & Work / Pipes
  • A102
  • B20.4
  • C85
  • D68

Step-by-Step Solution

Net filling rate = 1/34 - 1/51 = (3 - 2)/102 = 1/102 per hour, so the tank fills in 102 hours. (20.4 hours would be the time if both pipes were filling.)
Answer: A) 102

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