SOLUTION: Alex can clean the school office in 25 minutes. Luke can clean the same office in 35 minutes. How long will it take them if they work together?

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Question 1179693: Alex can clean the school office in 25 minutes. Luke can clean the same office in 35 minutes. How long will it take them if they work together?
Found 2 solutions by josgarithmetic, mananth:
Answer by josgarithmetic(39613) About Me  (Show Source):
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

Alex 25 minutes
It does 1/25 of the job in 1 hour
Luke 35 minutes
It does 1/35 of thejob in 1 minutes
Together they will do 1/25 + 1/35
Together they will do 5/73 of the job in one minutes
So they will take 14 7/12 minutes