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    Question

    Pipe A and B can fill the pool in 30 minutes and 20 minutes, respectively. Pipe C can empty half filled pool in 30 minutes. If all the pipes are opened together, then find the time taken to fill the empty pool completely

    A 12 minutes Correct Answer Incorrect Answer
    B 16 minutes Correct Answer Incorrect Answer
    C 15 minutes Correct Answer Incorrect Answer
    D 17 minutes Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Time taken by pipe C to empty the full pool = 30 × 2 = 60 minutes Let the capacity of pool = 60 units Number of units of water filled by pipe A alone in one minute = 60/30 = 2 units Number of units of water filled by pipe B alone in one minute = 60/20 = 3 units Number of units of water emptied by pipe C alone in one minute = 60/60 = 1 units Required time taken = 60/(2 + 3 – 1) = 15 minutes

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