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 A can do a piece of work in 10 days and B can do the same work in 12 days. A and B worked together for 2 days. How many more days are required to complete the remaining work if they work together?

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 A can do a piece of work in 10 days and B can do the same work in 12 days. A and B worked together for 2 days. How many more days are required to complete the remaining work if they work together?

A). 2(2/11)days

B). 3(3/11)days

C). 3(5/11)days

D). 6(3/11)days


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Answered by on | Votes 0 |

3(5/11)days



A can do 1/10 of  the work in a day.

B can do 1/12 of the work in a 1 day.

Both of them together can do (1/10 + 1/12) part of work in 1 day  =  (6 + 5)/60 = 11/60

They take 60/11 days to complete the work together.

Given that they already worked for 2 days.

The number of days required to complete remaining work => 60/11 - 2 = 38/11 = 3 (5/11) days. 

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