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Railways Quantitative Aptitude Time And Work Sample Paper Time and Work Sample Test Paper-10

  • question_answer
    If 6 men and 8 boys can do a piece of work in 10 days and 26 men and 48 boys can do the same work in 2 days, the time taken by 15 men and 20 boys to do the same type of work will be

    A)  6 days 

    B)  4 days

    C)  8 days 

    D)  7 days.

    Correct Answer: B

    Solution :

    [b] Given \[(6M+8B)\times 10=(26M+48B)\times 2\] \[\Rightarrow \] \[60M+80B=52M+96B\] \[\Rightarrow \] \[8M=16B\] \[\Rightarrow \] \[1M=2B\] \[\therefore \,\,\,\,15M+20B=30B+20B=50B\] \[6M+8B=12B+8B=20B\] Now,  \[\begin{matrix}    Boys  \\    20  \\    50\downarrow   \\ \end{matrix}\]                \[\begin{matrix}    Days  \\    10  \\    x(Let)  \\ \end{matrix}\] \[\therefore \,\,\,x=\frac{20\times 10}{50}=4\,days\]


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