SOLUTION: One machine in a print shop can produce a certain number of pages twice as fast as another machine. Operating together, these machines can produce this number of pages in 8 minute

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Question 38885: One machine in a print shop can produce a certain number of pages twice as fast as another machine. Operating together, these machines can produce this number of pages in 8 minutes. How long would it take each machine, working alone to produce this number of pages.
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
One machine can produce 2x as fast as other
Other can produce x as fast.
Equation:
1%2F2x%2B1%2Fx=1%2F8
%28%282x%29%2B%28x%29%29=%28%28x%29%282x%29%29%2F8
3x=2x%5E2%2F8
24x=2x%5E2
x%5E2-12x=0
x(x-12)
x=12
2(12)=24
Hence, one can produce the number of pages is 12 minutes while the other can produce the number of pages in 24 minutes.
Paul.