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    Question

    An inlet pipe can fill an empty tank in 36 minutes

    whereas an outlet pipe can empty the fully filled tank in 54 minutes. Find the time taken by both the pipes together to fill half of the empty tank.
    A 39 minutes Correct Answer Incorrect Answer
    B 49 minutes Correct Answer Incorrect Answer
    C 54 minutes Correct Answer Incorrect Answer
    D 59 minutes Correct Answer Incorrect Answer

    Solution

    Let the total capacity of tank be 108 litres (LCM of 36 and 54)
    Efficiency of inlet pipe = (108/36) = 3 litres/minute
    Efficiency of outlet pipe = (108/54) = -2 litres/minute
    Required time = (0.5 × 108) ÷ (3 - 2) = 54 minutes

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