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SSC Sample Paper SSC CGL - Sample Paper-12

  • question_answer
    A is thrice as good a workman as B and is, therefore, able to finish a piece of work in 60 days less than B. The time (in days) in which they can do it working together is

    A) 22                                

    B) 221

    C) 23                                

    D) 231

    Correct Answer: B

    Solution :

    If A completed the work in x days, B will do the same in  3x days \[\therefore \]      \[3x-x=60\] \[\Rightarrow \]   \[2x=60\] \[\Rightarrow \] \[x=30\] and \[3x=90\] \[\therefore \] (A + B)?s 1 day s work \[=\frac{1}{30}+\frac{1}{90}=\frac{3+1}{90}\]             \[=\frac{4}{90}=\frac{2}{45}\] \[\therefore \] A and B together will do the work in             \[\frac{45}{2}=22\frac{1}{2}\,\text{days}\text{.}\]


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