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      Question

      Pipes ‘D’ and ‘E’ alone can fill a tank in 16

      minutes and 24 minutes, respectively, while pipe ‘F’ can empty the same tank in 48 minutes. If all three pipes are opened together, then find the time taken to fill the tank.
      A 4 mins Correct Answer Incorrect Answer
      B 9 mins Correct Answer Incorrect Answer
      C 12 mins Correct Answer Incorrect Answer
      D 10 mins Correct Answer Incorrect Answer

      Solution

      ATQ,
      Let the capacity of the tank be 96 litres {LCM (16, 24, and 48)}
      Efficiency of pipe ‘D’ = (96/16) = 6 litres/minute
      Efficiency of pipe ‘E’ = (96/24) = 4 litres/minute
      Efficiency of pipe ‘F’ = (96/48) = 2 litres/minute
      Required time = {96 / (6 + 4 – 2)} = 12 minutes

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