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SSC Quantitative Aptitude Time And Work Question Bank Work and Time (II)

  • question_answer
    A and B can do a job together in 12 days. A is 2 times as efficient as B. In how many days can B alone complete the work

    A) 36

    B) 12

    C) 18

    D) 9

    Correct Answer: A

    Solution :

    [a] Let A takes n days to complete a work then, time taken by \[B=2n\] \[(A+B')\,1\]day work \[=\frac{1}{12}\] \[\Rightarrow \]   \[\frac{1}{n}+\frac{1}{2n}=\frac{1}{12}\] \[\Rightarrow \]   \[\frac{2+1}{2n}=\frac{1}{12}\] \[\therefore \]      \[n=\frac{12\times 3}{2}=18\] \[\therefore \] Time taken by B alone \[=2n=2\times 18\] = 36 days


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