SOLUTION: A master painter can paint the room in 5 hours, while his apprentice can do the same job in 7 hours. In how many hours will they paint the room if they work together?
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Question 1169315:  A master painter can paint the room in 5 hours, while his apprentice can do the same job in 7 hours. In how many hours will they paint the room if they work together? 
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
 in 1 hour paints 1/5 and in x hours x/5
the other paints 1/7 in 1 hour and x/7 in x hours.
Together they paint 1 room
so (x/5)+(x/7)=1
multiply by 35
5x+7x=35
x=35/12 hours or 2 11/12 hours
 
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