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 X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

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 X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

A). 13 days

B). 12 days

C). 11 days

D). 10 days


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Answered by on | Votes 0 |

10 days




X’s 1 day’s work = 1/20 

X’s 4 day’s work = 1/20 × 4 = 1/5 

The remaining work = 4/5 

X and Y’s 1 day work = 1/20 + 1/12 = 4/30 = 2/15 

Therefore, Both together finish the remaining work in 4/5/2/15 days 

= 4/5 × 15/2 = 6 days 

Therefore, the total number of days taken to finish the work = 4 + 6 = 10 days.

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