# SOLUTION: paul paints a room in 6 hours. joel paints the room in 3 hours. how long will it take them to paint togather?

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 Click here to see ALL problems on Rate-of-work-word-problems Question 359611: paul paints a room in 6 hours. joel paints the room in 3 hours. how long will it take them to paint togather?Answer by stanbon(57962)   (Show Source): You can put this solution on YOUR website! paul paints a room in 6 hours. joel paints the room in 3 hours. how long will it take them to paint together? -------- Paul's rate: 1/6 job/hr Joel's rate: 1/3 job/hr --- Together rate: 1/x job/hr =============================== Equation: rate + rate = together rate 1/6 + 1/3 = 1/x --- x + 2x = 6 3x = 6 x = 2 hrs ( time to do the job together) ========== Cheers, Stan H. ==========