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

  • question_answer
    X and Y can do a piece of work in 72 days. Y and Z can do it in 120 days. X and Z can do it in 90 days. In how many days all the three together can do the work?

    A)  100 days

    B)  150 days

    C)  60 days           

    D)  80 days

    Correct Answer: C

    Solution :

    [c] (X + Y)?s one day work \[=\frac{1}{72}\] (Y + Z)?s one day work \[=\frac{1}{120}\] (Z+X)?s one day work \[=\frac{1}{90}\] \[\therefore \,\] 2 ( X+Y+Z )?s one day work\[=\frac{1}{72}+\frac{1}{120}+\frac{1}{90}\] \[=\frac{5+3+4}{360}=\frac{12}{360}=\frac{1}{30}\] \[\therefore \,\] (X + Y + Z)?s one day work\[=\frac{1}{2}\times \frac{1}{30}=\frac{1}{60}\] \[\therefore \,\] They will complete the work in 60 days.


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