SOLUTION: Ben can paint a fence in 3 hours and Billy takes 4 hours. How long will it take them to painting together

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Question 547216: Ben can paint a fence in 3 hours and Billy takes 4 hours. How long will it take them to painting together
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Ben can paint a fence in 3 hours and Billy takes 4 hours. How long will it take them to painting together
.
Let x = time (hours) it takes for both
then
x(1/3 + 1/4) = 1
multiplying both sides by 12:
x(4 + 3) = 12
x(7) = 12
x = 12/7
x = 1.71 hours
or
x = 1 hour and 43 minutes