SOLUTION: if anna can paint a house in 4 hours and joe can paint a house in 6 hours. how long will it take them to do it together?

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Question 339147: if anna can paint a house in 4 hours and joe can paint a house in 6 hours. how long will it take them to do it together?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
if anna can paint a house in 4 hours and joe can paint a house in 6 hours. how long will it take them to do it together?
.
Let x = number of hours working together
then
x(1/4 + 1/6) = 1
multiplying both sides by 24:
x(6 + 4) = 24
10x = 24
x = 2.4 hours
or
x = 2 hours and 24 minutes