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    Question

    Time taken by pipe 'A' to fill a tank is 40 minutes.

    When both pipes 'A' and 'B' are opened together, the tank gets filled in 20 minutes. Find the time taken by 'B' to fill the tank alone.
    A 15 minutes Correct Answer Incorrect Answer
    B 40 minutes Correct Answer Incorrect Answer
    C 30 minutes Correct Answer Incorrect Answer
    D 50 minutes Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the capacity of the tank be 120 litres (LCM of 40 and 20).

    Efficiency of 'A' = (120/40) = 3 litres/minute

    Combined efficiency of 'A' and 'B' = (120/20) = 6 litres/minute

    Efficiency of 'B' = 6 - 3 = 3 litres/minute

    Therefore, required time = (120/3) = 40 minutes

    Hence, the answer is 40 minutes.

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