SOLUTION: Working alone, Joe can paint the room in 6 hours. If Manny helps, then together they can paint the room in 2 hours. Manny can paint the room by himself in____ hours.

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Question 950341: Working alone, Joe can paint the room in 6 hours. If Manny helps, then together they can paint the room in 2 hours. Manny can paint the room by himself in____ hours.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
Working alone, Joe can paint the room in 6 hours. If Manny helps, then together they can paint the room in 2 hours. Manny can paint the room by himself in____ hours.
Joe paints 1 room/6 hrs=1/6 room/hr
Together they paint 1 room/2 hrs=1/2 room/hr
Manny paints at a rate: Rate together - Joe's rate= Manny's rate
1/2 room/hr-1/6 room/hr=Manny's rate
2/6 room/hr=1/3 room/hr=Manny's rate
1 room/(1/3 room/hr)=3 hrs
ANSWER: Manny can paint the room by himself in 3 hours.