A printing machine can run the necessary copies of the daily circulation of a newspaper in 8 hours. A modern printer can run the same number of copies in 5 hours. How long will it take to run the copies when both machines are working?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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1. Work Problem: A printing machine can run the necessary copies of the daily circulation of a newspaper in 8 hours. A modern printer can run the same number of copies in 5 hours. How long will it take to run the copies when both machines are working?
2. Work Problem: An experienced carpenter can frame a house twice as fast as an apprentice. Working together, it takes the carpenters 2 days. How long would it take the apprentice working alone?
3. Work Problem: Mylene can do a job in 6 days. When Mylene and Joyce work together, it would take them days. Find the number of days if Joyce will work alone.
4. Work Problem: Working together, it takes Rowell, Queennie, and Mildred two and a half hours to paint one room. When Queennie works alone, he can paint one room in 7.5 hours. When Mildred works alone, she can paint one room in 6.5 hours. Determine how long it would take Rowell to paint one room on his own.
5. Number Problem: A positive integer is 4 less than another. The sum of the reciprocals of the two positive integers is . Find the two integers.
6. Motion Problem: Gladys spent the first 120 miles of her road trip in traffic. When the traffic cleared, she was able to drive twice as fast for the remaining 300 miles. If the total trip took 9 hours, then how fast was she moving in traffic?

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