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      Question

      Pipes P and Q can fill a tank in 12 hours and 15 hours

      respectively, while a third pipe C can empty the tank in 24 hours. If all three pipes are opened simultaneously at 4:00 a.m., at what time will the tank be 65% full?
      A 10 am Correct Answer Incorrect Answer
      B 9 am Correct Answer Incorrect Answer
      C 9.15 am Correct Answer Incorrect Answer
      D 10.25 am Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the capacity of the tank be 120 units

      Efficiency of pipe ‘A’ = 120/12 = 10 units/hour

      Efficiency of pipe ‘B’ = 120/15 = 8 units/hour

      Efficiency of pipe ‘C’ = 120/24 = 5 units/hour

      Tank filled in 1 hour = 10 + 8 – 5 = 13 units

      Time taken to fill 65% of the tank = 0.65 × 120/13 = 6 hours

      Therefore, tank will get filled at (4 + 6) = 10 a.m.

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