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Both X and Y together can complete a work in 12 days and Y alone can complete the same work in 30 days. In how many days will X alone complete the work?

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Both X and Y together can complete a work in 12 days and Y alone can complete the same work in 30 days. In how many days will X alone complete the work?
1). 15
2). 20
3). 18
4). 16


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3 vote
Answered by on | Votes 3 |

X and Y together can complete a work = 12 days

Y alone can complete the same work = 30

Let X alone can complete the same work = x days

⇒ 1/x + 1/30 = 1/12

⇒ 1/x = 1/12 - 1/30

⇒ 1/x = (30 - 12)/(30 × 12)

∴ x = 20 days

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