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 A person 'X' can do a piece of work in 75 days and 'Y' can do the same piece of work in 45 days. They work together for 15 days and then 'X' leaves. In how many days will' Y' finish the work ?

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 A person 'X' can do a piece of work in 75 days and 'Y' can do the same piece of work in 45 days. They work together for 15 days and then 'X' leaves. In how many days will' Y' finish the work ?

A). 20 days

B). 21 days

C). 22 days

D). 23 days


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Answered by on | Votes 0 |

21 days



X's one day's work = 1/75 and
Y's one day's work = 1/45.
∴ (X + Y)'s one day's work 
= 1/75 + 1/45 and (X + Y)'s 15 day's work 
= [1/75 + 1/45] x 15 = 8/15
∴ Remaining work = 1 - 8/15 = 7/15
∴ Y will do the rest of the work in 45 x 7/15 = 21 days

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