SOLUTION: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together? How do I set this up to so

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 Question 514340: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together? How do I set this up to solve it?Answer by stanbon(57384)   (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 hour, how long will it take for both of them to paint the house together? --- Sally rate = 1/4 job/hr John rate = 1/6 job/hr -- Together rate: 1/x job/hr ============================= Equation: rate + rate + together rate 1/4 + 1/6 = 1/x Multiply thru by 12x: 3x + 2x = 12 5x = 12 x = 2.4 hr = 2hr 24 min (time to do the job together) ------------------- Cheers, Stan H.