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A, B and C can do a piece of work in 24 ...

A, B and C can do a piece of work in 24 days, 30 days and 40 days respectively. They began the work together but C left 4 days before the completion of the work. In how many days was the work completed?

A

11

B

12

C

13

D

14

Text Solution

Verified by Experts

The correct Answer is:
A

` Ae =124 = 4.16% `
`Be = 1/30 = 3.33% `
`Ce = 1/40 = 2.5% `
माना कि कार्य x दिन में पूरा हुआ।
` therefore x xx 4.16 +x xx 3.33 + (x-4) xx 2.5 = 100 `
` rArr` 7.5x + 2.5x-10 = 100
` rArr 10x = 110`
` rArr x=11`
अर्थात् कार्य 11 दिन में पूरा हुआ।
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