Subject

    Quantitative Aptitude

    Topic

    Unitary Method

    Two pipes A and B can fill a cistern in 37(1/2) minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:

    ক)
    5 min.
    খ)
    9 min.
    গ)
    10 min.
    ঘ)
    15 min.

    Explanation

    Let B be turned off after x minutes. Then, Part filled by (A + B) in x min. + Part filled by A in (30 -x) min.= 1. So, x(2/75 + 1/45) + (30 - x) 2/75 = 1 => 11x/225 + (60 -2x)/75 = 1 => 11x + 180 - 6x = 225. => x = 9.

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