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    Question

    One tap can fill a container in 9 hours, while another

    outlet tap can empty it in 27 hours. If both taps run together, how long will it take to fill the container?
    A 21 hrs Correct Answer Incorrect Answer
    B 14 hrs Correct Answer Incorrect Answer
    C 24.5 hrs Correct Answer Incorrect Answer
    D 13.5 hrs Correct Answer Incorrect Answer

    Solution

    Let the capacity be 27 litres {LCM (9 and 27)} Filling efficiency = (27/9) = 3 units/hour Emptying efficiency = (27/27) = 1 unit/hour Net efficiency = 3 – 1 = 2 units/hour Time required = (27/2) = 13.5 hours

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