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SSC Sample Paper SSC (Group-C) Sample Test Paper-3

  • question_answer
     A can do a piece of work in 12 days and B in 20 days. If they together work on it for 5 days, and remaining work is completed by C in 3 days, then in how many days can C do the same work alone?

    A)  10 days      

    B)  9 days

    C)  12 days     

    D)  15 days

    Correct Answer: B

    Solution :

     Work done by (A + B) in 5 days \[=5\left( \frac{1}{12}+\frac{1}{20} \right)=5\left( \frac{5+3}{60} \right)=\frac{40}{60}=\frac{2}{3}\] Remaining work  \[=1-\frac{2}{3}=\frac{1}{3}\] Time taken by C in doing \[\frac{1}{3}\] work = 3 days \[\therefore \]   Required time \[=3\times 3=9\] days


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