Question

Y can do a work in 2/3 the time it takes X. Z can do the same work in ¾ the time it takes Y.When all three are typing at the same time what fraction of their total work does Y do

a)1/3
b)4/13
c)9/23
d)8/29

Answer 1

Here u go



given the ratio of the time of y and x is 2/3 : 1
therefore the ratio of speed of the x and y becomes 2 : 3.
similarly the ratio of the speed of the z and y given as 4 : 3
therefore the speed of the y and z becomes 3 : 4.
now , comparing the ratio of the x,y and z
it becomes 2: 3 :: 3 : 4
hence the y is doing 3/9 hence it is doing 1/3 work.

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Answer 2

Answer:

given Y=2/3 times of X

Z= 3/4times of Y

so

Z=(3/4)*(2/3)X

=(1/2)X

we know that

they all do the work at same time

therefore time is equal

X+Y+Z=1

X+(2/3)X+(1/2)X=1

X=6/13

substitute X in the above equation

we get

Y=4/13

we get