SOLUTION: The HP Laser Jet 9000 works twice as fast as the Laser Jet 2300. If the machines work together, a university can produce all its staff manuals in 15hr. Find the time it would take

Question 186736: The HP Laser Jet 9000 works twice as fast as the Laser Jet 2300. If the machines work together, a university can produce all its staff manuals in 15hr. Find the time it would take each machine, working alone, to complete the same job?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The HP Laser Jet 9000 works twice as fast as the Laser Jet 2300. If the machines work together, a university can produce all its staff manuals in 15hr. Find the time it would take each machine, working alone, to complete the same job?
.
Let x = speed of Laser Jet 2300
then
2x = speed of Laser Jet 9000
.
15(x + 2x) = 1
15x + 30x = 1
45x = 1
x = 1/45
the above says, completes a job in 45 hours (speed of Laser Jet 2300)
.
Laser Jet 9000:
2x = 2(1/45) = 2/45 = 1/22.5
the above says, completes a job in 22.5 hours (speed of Laser Jet 9000)
.

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