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    Question

    A, B, and C together can do a piece of work in 14 days,

    whereas C alone can do the same work in 42 days. How long will A and B together take to finish it?
    A 28 days Correct Answer Incorrect Answer
    B 35 days Correct Answer Incorrect Answer
    C 21 days Correct Answer Incorrect Answer
    D 7 days Correct Answer Incorrect Answer

    Solution

    (A+B+C)                     C 14                               42              42 3                                  1 Efficiency of A+B+C =3 Efficiency of C =1 Efficiency of (A+B) =A+B+C -C=3-1=2 A and B work both together =42/2 = 21 days.

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