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    Question

    Pipe β€˜A’ can fill a tank in 30 hours while pipe

    β€˜B’ can empty it in 40 hours. They were operated on alternate hours starting with pipe β€˜A’. Find the percentage of tank filled this way in 54 hours.
    A 22.5% Correct Answer Incorrect Answer
    B 25% Correct Answer Incorrect Answer
    C 15% Correct Answer Incorrect Answer
    D 14% Correct Answer Incorrect Answer

    Solution

    Let the total capacity of tank be 120 units Efficiency of pipe β€˜A’ = 120/30 = 4 units/hour Efficiency of pipe β€˜B’ = 120/40 = 3 units/hour Tank filled in 2 hours = (4 – 3) = 1 units Therefore, tank filled in (2 Γ— 27 = 54 hours) = 1 Γ— 27 = 27 units Required percentage of tank filled = (27/120) Γ— 100 = 22.5%

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