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    Question

    A2 type ‘P’ pipes can fill

    a tank in 450 hours, while B2 type ‘Q’ pipes can fill the same tank in 648 hours. (10A × 6B) 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 9 hrs Correct Answer Incorrect Answer
    D 14 hrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    A2 × 450 = B2 × 648
    A2/B2 = 648/450
    A2/B2 = 36/25
    A/B = 6/5
    A = 6B/5
    (10A × 6B) type 'P' pipes = 10 × 6B/5 × 6B = 72 B2
    Required time = (B2 × 648)/(72 × B2) = 9 hrs

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