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

  • question_answer
    The work done by a woman worker in 8 h is equal to the work done by a man worker in 6 h and by a boy worker in 12 h. If working 6 h/day 9 men worker, 12 women worker and 12 boys worker together finish the same work working 8 h/day?

    A)  \[1\frac{1}{2}\]days'

    B)  3 days

    C)  \[3\frac{2}{3}\]days                 

    D)  \[1\frac{1}{3}\]days

    Correct Answer: A

    Solution :

    Work done/hour by a woman, a man and a boy x, y and z, respectively. So,       \[8x=6y=12z\] \[\Rightarrow \]\[x=\frac{3}{4}y\]and \[z=\frac{y}{2}\] 9 men can complete a work in 6 days working 6 h/day. \[\therefore \]Work done\[=9\times 6\times 6y=324y\] Work done by 12 men, 12 women and 12 boys to 1 day's working = 8 h/day \[=(12y+12x+12z)\times 8\] \[=\left[ 12y+12\times \frac{3}{4}y+12\times \frac{y}{2} \right]\times 8=216y\] Days required to finish work \[=\frac{324y}{216y}=1\frac{1}{2}\]days


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