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    Question

    Pipe тАШAтАЩ can fill a tank in 25 hours while pipe

    тАШBтАЩ can empty it in 30 hours. They were operated on alternate hours starting with pipe тАШAтАЩ. Find the percentage of tank filled this way in 75 hours.
    A 22.5% Correct Answer Incorrect Answer
    B 25% Correct Answer Incorrect Answer
    C 15% Correct Answer Incorrect Answer
    D 20% Correct Answer Incorrect Answer
    E 75% Correct Answer Incorrect Answer

    Solution

    Let the total capacity of tank be 150 units Efficiency of pipe тАШAтАЩ = 150/25 = 6 units/hour Efficiency of pipe тАШBтАЩ = 150/30 = 5 units/hour Tank filled in 2 hours = (6 тАУ 5) = 1 units Therefore, tank filled in (2 ├Ч 37.5 = 70 hours) = 1 ├Ч 37.5 = 37.5 units Required percentage of tank filled = (37.5/150) ├Ч 100 = 25%

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