SOLUTION: if it takes 4 hours for a group of people to paint a house and 6 hours for another group of people to paint another house, How long will it take for both groups of people to paint

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Question 571229: if it takes 4 hours for a group of people to paint a house and 6 hours for another group of people to paint another house, How long will it take for both groups of people to paint a house together?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
if it takes 4 hours for a group of people to paint a house and 6 hours for another group of people to paint another house, How long will it take for both groups of people to paint a house together?
Let x = time (hours) it takes for both groups
then
x(1/4 + 1/6) = 1
multiply both sides by 12:
x(3 + 2) = 12
x(5) = 12
x = 12/5
x = 2.4 hours