Subject

    Quantitative Aptitude

    Topic

    Time and Work

    Two pipes A and B can fill a cistern in 24 hours and 32 hours respectively. If both pipes are opened simultaneously, find out when the pipe A must be turned off so that the cistern can be filled in exactly 16 hours?

    ক)
    14 hr
    খ)
    8 hr
    গ)
    6 hr
    ঘ)
    10 hr
    ঙ)
    None of these

    Explanation

    Suppose the first pipe was closed offer x hr. Then, the first pipe was functional for x hours, while second pipe was functional for 16 hours. ⇒x24+1632=1\Rightarrow \frac{x}{{24}} + \frac{{16}}{{32}} = 1 ⇒x24=1−12=12\Rightarrow \frac{x}{{24}} = 1 - \frac{1}{2} = \frac{1}{2} ⇒ x = 12 hrs Hence, first pipe must be closed after 12 hours to fill the tank in exactly 16 hours.
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