SSC Sample Paper Mock Test-4 SSC CGL Tear-II Paper-1

  • question_answer
    24 men can complete a work in 16 days. 36 women can complete the same work in 24 days. In how many days will 8 men and 6 women complete the work?

    A)  36 days                       

    B)  28 days

    C)  32 days                       

    D)  24 days

    Correct Answer: B

    Solution :

    24 men 1 work in 16 days. \[\therefore \] 1man 1 work in \[24\times 16\]days. \[\therefore \] 1 man \[\frac{1}{24\times 16}\]work in 1 day Again, 16 women 1 work in 24 days. \[\therefore \] 1 woman 1 work in \[16\times 24\]days \[\therefore \] 1 man\[\frac{1}{24\times 16}\] work in 1 day \[\therefore \] 8 men and 6 women in 1 day \[=8\times \frac{1}{24\times 16}+6\times \frac{1}{24\times 16}\]work\[=\frac{8+6}{24\times 16}=\frac{14}{24\times 16}\]work \[\therefore \] Complete work in \[\frac{2416}{14}\] days \[=27.43\approx 28\]days


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