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    Question

    An inlet can fill a tank in 36 minutes, and an outlet

    can drain it in 54 minutes. Find the time required to fill half the tank when both pipes are open.
    A 54 mins Correct Answer Incorrect Answer
    B 35 mins Correct Answer Incorrect Answer
    C 20 mins Correct Answer Incorrect Answer
    D 45 mins Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the total capacity of the tank be 108 litres (LCM of 36 and 54)

    Efficiency of inlet = 108 ├╖ 36 = 3 litres/minute

    Efficiency of outlet = 108 ├╖ 54 = -2 litres/minute

    Required time = (0.5 ├Ч 108) ├╖ (3 - 2) = 54 minutes

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