SOLUTION: Working alone, Sue can paint a 10' x 12' rectangular room in 12 hours. Joe can paint the same room in 16 hours. If they work together, how long will it take them to paint the roo

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Question 890108: Working alone, Sue can paint a 10' x 12' rectangular room in 12 hours. Joe can paint the same room in 16 hours. If they work together, how long will it take them to paint the room?
Answer by nerdybill(7384) About Me  (Show Source):
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Working alone, Sue can paint a 10' x 12' rectangular room in 12 hours. Joe can paint the same room in 16 hours. If they work together, how long will it take them to paint the room?
.
Let x = time together
then
x(1/12 + 1/16) = 1
x(16 + 12) = 192
x(28) = 192
x = 6.857 hours
or
x = 6 hours and 51 minutes