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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-23

  • question_answer
    A man and a woman working together can do a certain work in 16 days, their skills in doing the work are in the ratio of\[4:5\]. How many days will be woman take to finish the work alone?

    A)  25 days                       

    B)  \[28\frac{4}{5}\] days

    C)  20 days                       

    D)  32 days

    Correct Answer: B

    Solution :

     Let the one day work of man and woman are \[\frac{4}{x}\] and \[\frac{5}{x}\] respectively. Then, \[16\times \frac{4}{5}+16\times \frac{5}{x}=1\Rightarrow \frac{64+80}{x}=1\] \[x=144\] So, one day work of woman \[=\frac{5}{144}\] \[\therefore \]   Work done by woman alone \[=\frac{144}{5}=\,\,\underline{\mathbf{28}\frac{\mathbf{4}}{\mathbf{5}}\,\mathbf{days}}\]


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