SOLUTION: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the same house together?

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 Click here to see ALL problems on Equations Question 503830: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the same house together?Answer by stanbon(57369)   (Show Source): You can put this solution on YOUR website!If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the same house together? -------------------- Sally time = 4 hrs/job ; rate = 1/4 job/hr --- John time = 6 hrs/job ; rate = 1/6 job/hr --- Together time = x hrs/job ; rate = 1/x job/hr -------- Equation: rate + rate = together rate 1/4 + 1/6 = 1/x --- Multiply thru by 12x to get: 3x + 2x = 12 5x = 12 x = 12/5 = 2hr 24min (time to do the job together) --------------- Cheers, Stan H. =============