SOLUTION: Hannah can paint a room in 8 hours. Destiny can paint the same room in 6 hours. How long does it take for both Hannah and Destiny to paint the room it they are working together.

Question 885095: Hannah can paint a room in 8 hours. Destiny can paint the same room in 6 hours. How long does it take for both Hannah and Destiny to paint the room it they are working together.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Hannah can paint a room in 8 hours. Destiny can paint the same room in 6 hours. How long does it take for both Hannah and Destiny to paint the room it they are working together.
.
Let x = time (hours) it takes for both
then
x(1/8 + 1/6) = 1
multiplying both sides by 24 (common denominator):
x(3 + 4) = 24
x(7) = 24
x = 24/7
x = 3.429 hours
or
x = 3 hours and 26 minutes
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