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    Question

    Pipe β€˜A’ can fill a tank in 10 hours while pipe

    β€˜B’ can empty it in 12 hours. They were operated on alternate hours starting with pipe β€˜A’. Find the percentage of tank filled this way in 30 hours.
    A 47.5% Correct Answer Incorrect Answer
    B 25% Correct Answer Incorrect Answer
    C 37.5% Correct Answer Incorrect Answer
    D 27.5% Correct Answer Incorrect Answer
    E 5% Correct Answer Incorrect Answer

    Solution

    Let the total capacity of tank be 60 units Efficiency of pipe β€˜A’ = 60/10 = 6 units/hour Efficiency of pipe β€˜B’ = 60/12 = 5 units/hour Tank filled in 2 hours = (6 – 5) = 1 units Therefore, tank filled in (2 Γ— 15 = 30 hours) = 1 Γ— 15 = 15 units Required percentage of tank filled = (15/60) Γ— 100 = 25%

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