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      Question

      Pipes P and Q can fill a tank in 10 hours and 20 hours

      respectively, while pipe C can empty the full tank in 30 hours. If all the three pipes are opened together at 6 a.m., then at what time will 70% of the tank be filled?
      A 1 am Correct Answer Incorrect Answer
      B 12 pm Correct Answer Incorrect Answer
      C 5 pm Correct Answer Incorrect Answer
      D 8 am Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the capacity of the tank be 60 units Efficiency of pipe P = 60/10 = 6 units/hour Efficiency of pipe Q = 60/20 = 3 units/hour Efficiency of pipe C = 60/30 = 2 units/hour Tank filled in 1 hour = 6 + 3 − 2 = 7 units 70% of the tank = 60 × 70/100 = 42 units Time taken to fill 70% of the tank = 42/7 = 6 hours Therefore, tank will get filled at (6 a.m. + 6 hours) = 12 p.m.

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