Y can do a work in 2/3 the time it takes x, z can do same work in 3/4 time it takes y. when all three are typing the same time what is the fraction of total work does y do ?



Y can do a work in 2/3 the time it takes x, z can do same work in 3/4 time it takes y. when all three are typing the same time what is the fraction of total work does y do ?

A. 4/13

B. 8/29

C. 1/3

D. 9/23

Answer : A . 4/13


Explanation:


    Time Taken by Y = (2 * 100) / 3
    = 66.66 unit.

    Time taken by Z = (3 * 66.66) / 4
    = 50 unit.

    Ratio of time of X, Y and Z = 100 : 66.66 : 50

    Fraction of work Y do = 66.66 / (100 + 66.66 + 50)
    = 0.307
    = 4/13.


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