Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-22

  • question_answer
    A is thrice as good a workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in

    A)  20 days           

    B)  \[22\frac{1}{2}\]days

    C)  25 days           

    D)  30 days

    Correct Answer: B

    Solution :

    Suppose B takes x days to finish the job. Then, A takes \[(x-60)\]days to finish it. Work done by A in 1 day = 3 times work done by B in 1 day \[\frac{1}{x-60}=\frac{3}{x}\Rightarrow 3x-180=x\] \[\Rightarrow \]   \[2x=180\Rightarrow x=90\] B takes 90 days and A takes 30 days to finish work. (A+ B)?s 1 day?s work \[=\left( \frac{1}{30}+\frac{1}{90} \right)=\frac{4}{90}=\frac{2}{45}\] Working together they finish the work in\[\frac{45}{2}\]days \[=22\frac{1}{2}\]days.


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