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      Question

      Pipe A and B can fill the pool in 15 minutes and 10

      minutes, respectively. Pipe C can empty half filled pool in 12 minutes. If all the pipes are opened together, then find the time taken to fill the empty pool completely
      A 4 minutes Correct Answer Incorrect Answer
      B 6 minutes Correct Answer Incorrect Answer
      C 8 minutes Correct Answer Incorrect Answer
      D 7 minutes Correct Answer Incorrect Answer

      Solution

      Time taken by pipe C to empty the full pool = 12 × 2 = 24 minutes Let the capacity of pool = 30 units Number of units of water filled by pipe A alone in one minute = 30/15 = 2 units Number of units of water filled by pipe B alone in one minute = 30/10 = 3 units Number of units of water emptied by pipe C alone in one minute = 30/24 = 1.25 units Required time taken = 30/(2 + 3 – 1.25) = 8 minutes

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