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?
Algebra ->
Rate-of-work-word-problems
-> 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?
Log On
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