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SSC Sample Paper SSC CGL - Sample Paper-15

  • question_answer
    A, B and C together can do a work in 3 days. If A or B alone can do the work in 8 days, then how long will take C along to do the same work?

    A) 7 days              

    B) 6 days   

    C) 12 days

    D) 18 days

    Correct Answer: C

    Solution :

    Time taken to complete the work when they all the three work together. \[=\frac{ABC}{AB+BC+CA}\] or         \[3=\frac{8\times 8\times C}{8\times 8+8\times C+C\times 8}\]             \[=\frac{64C}{64+16C}\] \[\therefore \]      \[192+48C=64C\] or         \[C=\frac{192}{16}=12\] \[\therefore \] C along will complete the work in 12 days.     


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