SOLUTION: Company X can install chairs in a theater in 10 hours. Company Y can install them in 15 hours. How long would it take the two companies, working together to install the chairs. __

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Question 40409: Company X can install chairs in a theater in 10 hours. Company Y can install them in 15 hours. How long would it take the two companies, working together to install the chairs.
______hours.
Thanks

Answer by fazlerabbi(9)   (Show Source): You can put this solution on YOUR website!
X can install chairs in 10 hrs. So, in 1 hour X performs 1/10 part of the work.
Y can install chairs in 15 hrs. So, in 1 hour Y performs 1/15 part of the work.
X and Y together in 1 hour perform (1/10 + 1/15) = 1/6 part of the work.
1/6 part of the work is done in 1 hour
So, 1 (whole) work is done in 6 hours.

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