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    Question

    Pipe A and B can fill the pool in 35 minutes and 10

    minutes, respectively. Pipe C can empty half filled pool in 35 minutes. If all the pipes are opened together, then find the time taken to fill the empty pool completely
    A 6.75 minutes Correct Answer Incorrect Answer
    B 5.75 minutes Correct Answer Incorrect Answer
    C 8.75 minutes Correct Answer Incorrect Answer
    D 10.75 minutes Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Time taken by pipe C to empty the full pool = 35 × 2 = 70 minutes Let the capacity of pool = 70 units Number of units of water filled by pipe A alone in one minute = 70/35 = 2 units Number of units of water filled by pipe B alone in one minute = 70/10 = 7 units Number of units of water emptied by pipe C alone in one minute = 70/70 = 1 units Required time taken = 70/(2 + 7 – 1) = 8.75 minutes

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