X alone can do a piece of work in 15 days and Y alone can do it in 10 days : Crackverbal Support

X alone can do a piece of work in 15 days and Y alone can do it in 10 days Print

Modified on: Tue, 12 Oct, 2021 at 12:52 PM

Concept: The question tests on Rates(Time and Work)

Solution:

Let the time taken by Z = a days

Work done by X in 1 day = 1/15

Work done by Y in 1 day = 1/10

Work done by Z in 1 day = 1/a

Work done by X, Y and Z in 1 day = 1/5

Therefore 1/15 + 1/10 + 1/a = 1/5

1/a = 1/5 - 1/10 - 1/15 = (6 - 3 - 2) / 30 = 1/30

Z alone finishes the work in 30 days

Ratio of Work done = 1/15 : 1/10 : 1/30 = 2 : 3 : 1

Amount paid to Z = (1 / 6) * 720 = 120

Option D

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X alone can do a piece of work in 15 days and Y alone can do it in 10 days Print

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