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      Question

      Pipes P and Q can fill a tank in 14 hours and 21 hours

      respectively, while pipe R can empty the completely filled tank in 42 hours. If all the three pipes are opened together at 3 p.m., then at what time will 60% of the tank be filled?
      A 11:48 pm Correct Answer Incorrect Answer
      B 9:18 pm Correct Answer Incorrect Answer
      C 3:32 pm Correct Answer Incorrect Answer
      D 2:00 pm Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the capacity of the tank be 420 units Efficiency of pipe P = 420/14 = 30 units/hour Efficiency of pipe Q = 420/21 = 20 units/hour Efficiency of pipe R = 420/42 = 10 units/hour Tank filled in 1 hour = 30 + 20 − 10 = 40 units 60% of the tank = 420 × 60/100 = 252 units Time taken to fill 60% of the tank = 252/40 = 6.3 hours = 6 hours + (0.3 × 60) minutes = 6 hours 18 minutes Therefore, tank will get filled at (3:00 p.m. + 6:18) = 9:18 p.m.

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