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    Dev and Goyal together can do a piece of work in 14 days and Dev alone can do it in 27 days. In how many days can Goyal alone do it?
    Question

    Dev and Goyal together can do a piece of work in 14 days and Dev alone can do it in 27 days. In how many days can Goyal alone do it?

    A.

    21113\frac{1}{13}​​

    B.

    30113\frac{1}{13}​​

    C.

    29113\frac{1}{13}​​

    D.

    32113\frac{1}{13}​​

    Correct option is C

    Let the total work =  LCM of 14 and 27 = 378

    Efficiency of Dev and Goyal together = 37814=27\frac{378}{14} = 27  unit per day

    Efficiency of Dev alone = 37827=14\frac{378}{27} = 14 unit per day

    Efficiency of Goyal alone = 27-14 = 13 unit per day 

    Time taken by Goyal alone to complete the same work = 37813=29113\frac{378}{13} = 29 \frac{1}{13} days​

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