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SSC Sample Paper SSC CGL - Sample Paper-8

  • question_answer
    A and B can do a piece of work in 12 days and 15 days respectively. They began to work together but A left after 4 days. In how many more days would B alone complete the remaining work?

    A)  \[\frac{20}{3}\]                        

    B)  \[\frac{25}{3}\]

    C)  6                    

    D)  5

    Correct Answer: C

    Solution :

    Part of the work done by A and B in 4 days \[=4\left( \frac{1}{12}+\frac{1}{15} \right)=4\left( \frac{5+4}{60} \right)\] \[=4\times \frac{9}{60}=\frac{3}{5}\] Remaining work \[=1-\frac{3}{5}=\frac{2}{5}\] \[\therefore \] Time taken B to complete the remaining work             \[=\frac{2}{5}\times 15=6\,days\]          


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