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    Question

    A2 type ‘P’ pipes can fill

    a tank in 640 hours, while B2 type ‘Q’ pipes can fill the same tank in 490 hours. (10A × 4B) 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 10 hrs Correct Answer Incorrect Answer
    B 15 hrs Correct Answer Incorrect Answer
    C 12 hrs Correct Answer Incorrect Answer
    D 14 hrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    A2×640 = B2×490
    A2/B2 = 490/640
    A2/B2= 49/64
    A/B = 7/8
    A = 7B/8
    (10A × 4B) type 'P' pipes = 10 ×7B/8 ×4B = 35B2
    Required time = (B2×490)/(35 ×B2) = 14 hrs

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