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SSC Sample Paper Mock Test-19 SSC CGL Tear-II Paper-1

  • question_answer
    A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days C alone in 50 days, then B alone could do the work in

    A) 15 days

    B)  20 days

    C)  25 days

    D)  30 days

    Correct Answer: C

    Solution :

    A's 1 day's work = (B + C)'s 1 day's work (A+ B)'s 1 day's work\[=\frac{1}{10}\] C's day's work \[=\frac{1}{50}\] \[\therefore \] (A+B+C)'s 1 day's work \[=\frac{1}{10}+\frac{1}{50}=\frac{5+1}{50}\] \[=\frac{6}{50}=\frac{3}{25}\] \[\therefore \]      (A+A)'s 1 day's work \[=\frac{3}{25}\] \[\therefore \]      A's 1 day's work \[=\frac{3}{50}\] \[\therefore \]B's 1 day?s work \[=\frac{1}{10}-\frac{3}{50}=\frac{5-3}{50}=\frac{2}{50}=\frac{1}{25}\] Hence, B alone will complete the work in 25 days.


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