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SSC Quantitative Aptitude Time And Work Question Bank Work and Time (II)

  • question_answer
    A and B can do a given piece of work in 8 days,   and C can do the same work in 12 days and A, B, C complete it in 6 days. Number of days required to finish the work by A and C is [SSC CGL Tier II, 2015]

    A) 12

    B) 24

    C) 16

    D) 8

    Correct Answer: D

    Solution :

    [d] One day work \[C=\frac{1}{4}-\frac{1}{8}=\frac{8-6}{48}=\frac{2}{48}=\frac{1}{24}\]part One day work of \[A=\frac{1}{4}=\frac{1}{12}=\frac{2-1}{12}\]part Then, one day work of A and \[C=\frac{1}{12}+\frac{1}{24}=\frac{2+1}{24}\] \[=\frac{3}{24}=\frac{1}{8}\text{part}\] \[\therefore \]A and C will complete the work in 8 days.


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