Bunuel wrote:

A certain manufacturer has three machines producing the same item. If Machine X produces 1/4 as many of the item as Machine Y produces in the same time, and Machine Y produces twice as many of the item as Machine Z in the same time, then during a fixed period Machine Z produces what fraction of the total number of items produced?

(A) 1/14

(B) 2/7

(C) 1/3

(D) 1/2

(E) 4/7

let the no. of items produced in time t by Y is a

so items produced by x be a/4

items produced by z be a/2

all items produced in time t=a/4+a+a/2=7a/4

fraction of work by z : (a/2)/(7a/4)=2/7

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