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    Subject

    Quantitative Aptitude

    Topic

    Pipes & Cistern

    Three Pipes P,Q and R can fill a tank in 6 hours. After working all three together for 2 hours. R is closed and P and Q can fill the remaining part in 7 hours.The number of hours taken by R alone to fill the tank is ?

    ক)
    10
    খ)
    12
    গ)
    14
    ঘ)
    16

    Explanation

    Solution: In 2 hours P,Q and R can fill = 2/6 = 1/3 part. Remaining part = 1 - 1/3 = 2/3 2/3 part filled by P and Q in = 7 hours. So, 1 part is filled by P and Q in  7×32=2127 \times \frac{3}{2} = \frac{{21}}{2} hours. So, R alone can fill = 1/6 - 2/21 = (7-4)/42 = 3/42 = 1/14 part So, R alone can fill the tank in = 14 hours.

    Related questions

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