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    Question

    Pipe A and B can fill the pool in 38 minutes and 19

    minutes, respectively. Pipe C can empty half filled pool in 38 minutes. If all the pipes are opened together, then find the time taken to fill the empty pool completely
    A 12.2 minutes Correct Answer Incorrect Answer
    B 13.2 minutes Correct Answer Incorrect Answer
    C 11.2 minutes Correct Answer Incorrect Answer
    D 15.2 minutes Correct Answer Incorrect Answer

    Solution

    Time taken by pipe C to empty the full pool = 38 × 2 = 76 minutes Let the capacity of pool = 38 units Number of units of water filled by pipe A alone in one minute = 38/38 = 1 units Number of units of water filled by pipe B alone in one minute = 38/19 = 2 units Number of units of water emptied by pipe C alone in one minute = 38/76 = 0.5 units Required time taken = 38/(1 + 2 – 0.5) = 15.2 minutes

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