# SOLUTION: Sally can paint a room in 3 hours while it takes Steve 4 hours to paint the same room. How long would it take them to paint the room if they worked together?

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 Click here to see ALL problems on Rate-of-work-word-problems Question 632095: Sally can paint a room in 3 hours while it takes Steve 4 hours to paint the same room. How long would it take them to paint the room if they worked together?Answer by Edwin McCravy(8918)   (Show Source): You can put this solution on YOUR website!Sally can paint a room in 3 hours while it takes Steve 4 hours to paint the same room. How long would it take them to paint the room if they worked together? ``` The LCM of 3 hours and 4 hours is 12 hours. If they worked together for 12 hours Sally would paint 4 rooms while Steve would paint 3 rooms. So together they can paint 7 rooms in 12 hours, so they could paint 1 room in 7/12 hours or 35 minutes. ```