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

  • question_answer
    A and B can do a piece of work in 28 days and 35 days respectively. They began to work together but A leaves after sometime and B completed remaining work in 17 days. After how many days did A leave? 

    A)                            \[\text{14}\frac{\text{2}}{\text{5}}\text{days}\]

    B)  \[9\] days         

    C)  \[8\] days

    D)  \[7\frac{5}{9}\text{days}\]    

    Correct Answer: C

    Solution :

    Suppose A worked for x days. According to the question,\[\frac{x}{28}+\frac{(x+17)}{35}=1\] \[\Rightarrow \] \[\frac{5x+4\,\,(x+17)}{140}=1\]\[\Rightarrow \]\[5x+4x+68=140\] \[\Rightarrow \]   \[9x=140-68=72\] \[\therefore \]      \[x=8\] \[\therefore \] A worked for 8 days.


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