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      Question

      Pipe A can fill a tank in 12 hours, and Pipe B can fill

      it in 18 hours. Pipe C can empty the full tank in 36 hours. If all three pipes are opened together, in how many hours will the tank be filled?
      A 4 hrs Correct Answer Incorrect Answer
      B 9 hrs Correct Answer Incorrect Answer
      C 5 hrs Correct Answer Incorrect Answer
      D 7 hrs Correct Answer Incorrect Answer

      Solution

      ATQ, Let total work (capacity of tank) = 1 unit AтАЩs rate = 1/12 per hour BтАЩs rate = 1/18 per hour CтАЩs (emptying) rate = тИТ1/36 per hour Net rate = 1/12 + 1/18 тИТ 1/36 LCM of 12, 18, 36 = 36 1/12 = 3/36 1/18 = 2/36 тИТ1/36 = тИТ1/36 Net = (3 + 2 тИТ 1)/36 = 4/36 = 1/9 Time = 1 / (1/9) = 9 hours

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