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Railways R.R.C. (Allahabad) Solved Paper 1st Shift Held on 1-12-2013

  • question_answer
    34. 12 men can complete a piece of work in 36 days. 18 women can complete the same piece of work in 60 days. 8 men 20 women work together for 20 days. If only women were to complete the remaining piece of work in 4 days, how many women would be required?

    A) 70                                

    B) 28             

    C) 66                                

    D) 40            

    Correct Answer: A

    Solution :

    When works are same So,       12 men \[\times \] 36 = 18 women \[\times \] 60 5 women= 2 men 20 women = 8 men Now, 8 men and 20 women or 16 men work done in 1 day                         \[=\frac{1}{20}\] 1 man can work done in 1 day \[=\frac{1}{20\times 16}\] \[\therefore \]Remaining work \[=1-\frac{16\times 20}{36\times 12}\] \[=1-\frac{20}{27}=\frac{7}{27}\] So, \[\frac{1}{60}\] piece of work can complete in 1 day = 18 women Then, \[\frac{7}{27}\]piece of work can complete in 1 day \[=\frac{18\times 60\times 7}{27}\] = 280 women Hence\[\frac{7}{27}\]piece of work can complete in 4 days                         \[=\frac{280}{4}\]women \[=70\] women


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