# SOLUTION: Please help me to solve this word problem: Sally was able to paint a room in 4 hours and Joe did the same job in 6 hours, how long will it take the two of them to do it together?

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 Question 636083: Please help me to solve this word problem: Sally was able to paint a room in 4 hours and Joe did the same job in 6 hours, how long will it take the two of them to do it together? Thank you in anticipation of your answer.Answer by jim_thompson5910(28717)   (Show Source): You can put this solution on YOUR website!1/4 + 1/6 = 1/t (1/4)(3/3) + (1/6)(2/2) = 1/t (1*3)/(4*3) + (1*2)/(6*2) = 1/t 3/12 + 2/12 = 1/t (3+2)/12 = 1/t 5/12 = 1/t 5t = 12*1 5t = 12 t = 12/5 t = 2 2/5 So it will take 2 2/5 hours, or 2.4 hours (which is 2 hours, 24 minutes) for them to do it together.