SSC Sample Paper SSC CGL - Sample Paper-1

  • question_answer
    A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone complied the remaining work. The whole work was completed in

    A)  10 days                       

    B)  8 days

    C)  12 days           

    D)  15 days

    Correct Answer: C

    Solution :

    Work done by (A + B) in 1 day \[=\frac{1}{15}+\frac{1}{10}\] \[=\frac{2+3}{30}=\frac{5}{30}=\frac{1}{6}\] \[\therefore \] (A + B)? 2 day's work\[=\frac{2}{6}=\frac{1}{3}\] Remaining work\[=1-\frac{1}{3}=\frac{2}{3}.\] This part is done by A alone. \[\because \] 1 work is done by A in 15 days. \[\therefore \] \[\frac{2}{3}\] work is done in \[15\times \frac{2}{3}=10\] days \[\therefore \] Required number of days \[=10+2=12\]       


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