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    P can do some work in 4 hours. Q and R together can finish it in 3 hours while P and R can doit in 2 hours. How long will Q take to complete it, if he
    Question

    P can do some work in 4 hours. Q and R together can finish it in 3 hours while P and R can doit in 2 hours. How long will Q take to complete it, if he works alone?

    A.

    8 hours

    B.

    10 hours

    C.

    12 hours

    D.

    15 hours

    Correct option is C


    Work done by p in one hour = 1/4
    Work done by Q and R in one hour = 1/3
    Work done by P and R in one hour = 1/2
    Work done by R in one hour = 1/2- 1/4= 1/4
    Work done by Q in one hour = 1/3- 1/4= 1/12
    Therefore, time taken by Q to complete the work = 12 hours.

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