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    Question

    A water pipe can fill a reservoir in 7 hours, but a

    leakage can empty it in 14 hours. If both work at the same time, when will the reservoir be full?
    A 25 hrs Correct Answer Incorrect Answer
    B 14 hrs Correct Answer Incorrect Answer
    C 20 hrs Correct Answer Incorrect Answer
    D 18 hrs Correct Answer Incorrect Answer

    Solution

    Assume capacity = 14 litres {LCM (7 and 14)} Filling rate of the pipe = (14/7) = 2 units/hour Emptying rate due to leakage = (14/14) = 1 unit/hour Net rate = 2 – 1 = 1 unit/hour Total time to fill = (14/1) = 14 hours

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