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Problem Solving (PS) | If it takes Jacob x hours to complete a project and it takes Mike y

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Bunuel wrote:

If it takes Jacob x hours to complete a project and it takes Mike y hours to complete the same project, how many hours will it take them to complete the project if they are working together?

A. xy/(x+y)

B. (x+y)/(xy)

C. x+y

D. xy

E. x–y


Jacob's 1 hour's work = 1/x
Mike's 1 hour's work=1/y

Jacob and Mike's 1 hour's work=1/x + 1/y
= (x+y)/xy

Now (x+y)/xy is done in 1 hour
So, the entire work will be done by = xy/(x+y), which is option A.
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