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Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-29

  • question_answer
    12 men take 36 days to do a work while 12 women complete\[\frac{3}{4}\]th of the same work in 36 days. In how many days 10 men and 8 women together will complete the same work?

    A)  6                    

    B)  12

    C)  27       

    D)  Data inadequate

    Correct Answer: C

    Solution :

    Time taken by 1 man to finish the work \[=(36\times 12)\]days = 432 days \[\frac{3}{4}\]th of work is completed by 12 women in 36 days. Whole work is completed by 12 women in \[\left( 36\times \frac{4}{3} \right)\]48 days Time taken by 1 woman to finish the work \[=(48\times 12)\]days = 576 days (10men+ 8 women)'s 1 day's work \[=\left( \frac{10}{432}+\frac{8}{576} \right)=\left( \frac{5}{216}+\frac{1}{72} \right)=\frac{8}{216}=\frac{1}{27}\] Required time taken =27 days


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