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    Question

    A2 type ‘P’ pipes can fill

    a tank in 375 hours, while B2 type ‘Q’ pipes can fill the same tank in 540 hours. (15A × 5B) type ‘P’ pipes can fill the same tank in how many hours? (Efficiency of a type P and a type Q pipe is same)
    A 7 hrs Correct Answer Incorrect Answer
    B 6 hrs Correct Answer Incorrect Answer
    C 13 hrs Correct Answer Incorrect Answer
    D 14 hrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    A2 × 375 = B2 × 540
    A2/B2 = 540/375
    A2/B2 = 36/25
    A/B = 6/5
    A = 6B/5
    (15A × 5B) type 'P' pipes = 15 × 6B/5 × 5B = 90B2
    Required time = (B2 × 540)/(90 × B2) = 6 hrs

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