SOLUTION: Andrew can paint a room by himself in 8 hours. With the help of Mike, it will only take him 3 hours. How long does it take Mike by him self?

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Question 454804: Andrew can paint a room by himself in 8 hours. With the help of Mike, it will only take him 3 hours. How long does it take Mike by him self?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Andrew can paint a room by himself in 8 hours. With the help of Mike, it will only take him 3 hours. How long does it take Mike by him self?
.
Let x = time (hours) it takes for Mike by himself
then
3(1/8 + 1/x) = 1
multiplying both sides by 8x:
3(x + 8) = 8x
3x + 24 = 8x
24 = 5x
24/5 = x
4.8 hours = x