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X and Y together can complete a work in 60 days. Y and Z together can complete the same work in 90 days. If X, Y and Z all work together, t…

3422Medium DSSSB TGT Computer Science 0 replies 2 views

X and Y together can complete a work in 60 days. Y and Z together can complete the same work in 90 days. If X, Y and Z all work together, then the same work gets completed in 45 days. How many days will X and Z together take to complete the same work?

A120 days
B90 days
C60 days
D150 days

Correct answer: C

Explanation

X + Y = 1/60, Y + Z = 1/90, X + Y + Z = 1/45. Then Z = 1/45 − 1/60 = 1/180 and X = 1/45 − 1/90 = 1/90. X + Z = 1/90 + 1/180 = 1/60, so 60 days.

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