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SSC Sample Paper Mock Test-20 SSC CGL Tear-II Paper-1

  • question_answer
    A and B together can do a work in 10 days. B and C together can do the same work in 6 days. A and C together can do the work in 12 days. Then, A, B and C together can do the work in

    A)  \[28\]days

    B)  \[14\] days             

    C)          \[5\frac{5}{7}\text{days}\]

    D)  \[\text{8}\frac{\text{2}}{\text{7}}\text{days}\]

    Correct Answer: C

    Solution :

    (A+B)'s 1 day's work \[=\frac{1}{10}\] (B+ C)'s 1 day's work \[=\frac{1}{6}\] (C+ A)'s 1 day's work \[=\frac{1}{12}\] Adding all three, 2(A + B + C)'s 1 day's work\[=\frac{1}{10}+\frac{1}{6}+\frac{1}{12}=\frac{6+10+5}{60}\]\[=\frac{21}{60}=\frac{7}{20}\] \[\therefore \] (A + B+ C}'s 1 day's work \[=\frac{7}{40}\] \[\therefore \] All three together will complete the work in \[\frac{40}{7}=5\frac{5}{7}\text{days}\]


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