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    Question

    Pipe A and B can fill the pool in 36 minutes and 48

    minutes, respectively. Pipe C can empty half filled pool in 36 minutes. If all the pipes are opened together, then find the time taken to fill the empty pool completely
    A 28.8 minutes Correct Answer Incorrect Answer
    B 20.8 minutes Correct Answer Incorrect Answer
    C 21.8 minutes Correct Answer Incorrect Answer
    D 23.8 minutes Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Time taken by pipe C to empty the full pool = 36 × 2 = 72 minutes Let the capacity of pool = 144 units Number of units of water filled by pipe A alone in one minute = 144/36 = 4 units Number of units of water filled by pipe B alone in one minute = 144/48 = 3 units Number of units of water emptied by pipe C alone in one minute = 144/72 = 2 units Required time taken = 144/(4 + 3 – 2) = 28.8 minutes

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