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    Question

    Pipe β€˜A’ can fill a tank in 15 hours while pipe

    β€˜B’ can empty it in 45 hours. They were operated on alternate hours starting with pipe β€˜A’. Find the percentage of tank filled this way in 27 hours.
    A 47.5% Correct Answer Incorrect Answer
    B 25% Correct Answer Incorrect Answer
    C 15% Correct Answer Incorrect Answer
    D 60% Correct Answer Incorrect Answer
    E 75% Correct Answer Incorrect Answer

    Solution

    Let the total capacity of tank be 45 units Efficiency of pipe β€˜A’ = 45/15 = 3 units/hour Efficiency of pipe β€˜B’ = 45/45 = 1 units/hour Tank filled in 2 hours = (3 – 1) = 2 units Therefore, tank filled in (2 Γ— 13.5 = 27 hours) = 2 Γ— 13.5 = 27 units Required percentage of tank filled = (27/45) Γ— 100 = 60%

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