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 minutes

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Question 33724This question is from textbook Algebra 1
: 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? This question is from textbook Algebra 1

Answer by mukhopadhyay(490) About Me  (Show Source):
You can put this solution on YOUR website!
Let the slower machine prints x pages per minute.
The faster machine then prints 2x pages per minute.
The slower machine prints 8x pages in 8 minutes;
The faster machine prints 16x pages in 8 minutes.
Total pages = 8x+16x = 24x;
The slower machine, working alone, prints 24x pages in 24 minutes;
The faster machine, working alone, prints 24x pages in 12 minutes;