Multiple Choice Questions on Two pipes A and B together can fill a cistern in 4 hours Had they been opened separately then B woul........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

Two pipes A and B together can fill a cistern in 4 hours Had they been opened separately then B woul...........

Quantitative Aptitude ( CCS) Pipes&cistern
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    Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately?

    1 hour

    Incorrect Answer

    2 hours

    Incorrect Answer

    6 hours

    Correct Answer

    8 hours

    Incorrect Answer
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    Explanation:

    Let the cistern be filled by pipe A alone in x hours.

    Then, pipe B will fill it in (x + 6) hours.

    1/  +     1/  =  1/
    x (x + 6) 4
    x + 6 + x/  =  1/
    x(x + 6) 4

    x2 - 2x - 24 = 0

    (x -6)(x + 4) = 0

    x = 6

    Hence, option 3 is the correct answer.

    By: Sandeep Dubey
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