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    Question

    An inlet pipe fills a water tank in 50 minutes and an

    outlet pipe empties the tank in 75 minutes. How much time will both take to fill half the tank when opened together?
    A 54 mins Correct Answer Incorrect Answer
    B 75 mins Correct Answer Incorrect Answer
    C 30 mins Correct Answer Incorrect Answer
    D 45 mins Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let total tank capacity be 150 litres (LCM of 50 and 75)

    Inlet efficiency = 150 Ă· 50 = 3 litres/minute

    Outlet efficiency = 150 Ă· 75 = -2 litres/minute

    Required time = (0.5 Ă— 150) Ă· (3 - 2) = 75 minutes

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