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SSC Sample Paper Mock Test-3 SSC CGL Tear-II Paper-1

  • question_answer
    A does half as much work as B in one sixth of the time. If together they take 10 days to complete a work, how much time shall B take to do it alone?

    A)  70 days                       

    B)  30 days

    C)  40 days

    D)  50 days

    Correct Answer: C

    Solution :

    Let B does the whole work in x days. \[\therefore \]Work done by B in 1 day \[=\frac{1}{x}\] According to question, A does the\[\frac{1}{2}\]work in \[\frac{x}{6}\]days A does the whole work in \[\frac{2x}{6}\] days \[=\frac{x}{3}\] days \[\therefore \]Work done by A in one day \[=\frac{3}{x}\] \[\therefore \]Work done by A and B together in one day \[=\frac{1}{x}+\frac{3}{x}=\frac{4}{x}\] \[\therefore \]Time taken to complete the whole work by A and B together \[=\frac{1}{4}=\frac{x}{4}\] days Again, given that \[\frac{x}{\frac{4}{x}}=10\] \[x=40\]days                        


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