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SSC Sample Paper Mock Test-16 SSC CGL Tear-II Paper-1

  • question_answer
    A and B can complete a piece of work in 8 days, B and C can do it in 12 days. C and A can do it in 8 days. A, B and C together can complete it in

    A) 4 days

    B)  5 days

    C)  6 days

    D)  7 days

    Correct Answer: C

    Solution :

    One day work of (A + B)\[=\frac{1}{8}\]
    One day work of (B + C) \[=\frac{1}{12}\]
    One day work of (C+A) \[=\frac{1}{8}\]
    \[\therefore \] One day work of 2(A+B+C)\[=\frac{1}{8}+\frac{1}{12}+\frac{1}{8}\]
    \[=\frac{3+2+3}{24}=\frac{8}{24}=\frac{1}{3}\]
    \[\therefore \] One day work of (A+B+C) \[=\frac{1}{2}\times \frac{1}{3}=\frac{1}{6}\]
    Hence, all three complete the work in 6 days.


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