SSC Sample Paper SSC (Group-C) Sample Test Paper-7

  • question_answer
    36 workmen I are employed to finish a certain work in 48 days. But it is found that in 24 days, only \[\frac{2}{5}\] work is done. How many more men must be taken to finish the work in time?

    A)  16                  

    B)       20

    C)  18                  

    D)       None of these

    Correct Answer: C

    Solution :

     Remaining work \[=1-\frac{2}{5}=\frac{3}{5},\] Remaining days \[=48-24=24\] \[\therefore \]    \[\frac{{{M}_{1}}{{D}_{2}}}{{{W}_{2}}}=\frac{{{M}_{2}}{{D}_{2}}}{{{W}_{2}}}\] \[\Rightarrow \]            \[\frac{36\times 24}{\frac{2}{5}}=\frac{{{M}_{2}}\times 24}{\frac{3}{5}}\] \[\Rightarrow \]            \[{{M}_{2}}\times 24\times 2=3\times 36\times 24\] \[\Rightarrow \]            \[{{M}_{2}}=\frac{3\times 36\times 24}{24\times 2}=54\] Additional men \[=54-36=18\]


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