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SSC Sample Paper SSC CGL - Sample Paper-1

  • question_answer
    A man can do a piece of work in 5 days, but with the help of his son, he can do it in 3 days. In what time can the son do it alone?

    A)  7 days             

    B)  8 days

    C)  \[7\frac{1}{2}\,\,\text{days}\]   

    D)  \[6\frac{1}{2}\,\,\text{days}\]

    Correct Answer: C

    Solution :

    Let the son take x days to do the work. \[\therefore \]      \[\frac{1}{5}+\frac{1}{x}=\frac{1}{3}\] \[\Rightarrow \]   \[\frac{x+5}{5x}=\frac{1}{3}\] \[\Rightarrow \]   \[3x+15=5x\] \[\Rightarrow \]   \[2x=15\] \[\Rightarrow \]   \[x=\frac{15}{2}\]             \[=7\frac{1}{2}\,\,\text{days}\]  


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