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    Question

    Pipe β€˜A’ can fill a tank in 25 hours while pipe

    β€˜B’ can empty it in 30 hours. They were operated on alternate hours starting with pipe β€˜A’. Find the percentage of tank filled this way in 42 hours.
    A 35% Correct Answer Incorrect Answer
    B 25% Correct Answer Incorrect Answer
    C 15% Correct Answer Incorrect Answer
    D 14% Correct Answer Incorrect Answer
    E 75% Correct Answer Incorrect Answer

    Solution

    Let the total capacity of tank be 150 units Efficiency of pipe β€˜A’ = 150/25 = 6 units/hour Efficiency of pipe β€˜B’ = 150/30 = 5 units/hour Tank filled in 2 hours = (6 – 5) = 1 units Therefore, tank filled in (2 Γ— 21 = 42 hours) = 1 Γ— 21 = 21 units Required percentage of tank filled = (21/150) Γ— 100 = 14%

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