SOLUTION: In a factory, one machine produces three times the number of pictures that another machine produces in the same period of time. Together they can do a job in 3 hours. How long will

Algebra ->  Rate-of-work-word-problems -> SOLUTION: In a factory, one machine produces three times the number of pictures that another machine produces in the same period of time. Together they can do a job in 3 hours. How long will      Log On


   

Question 1006654: In a factory, one machine produces three times the number of pictures that another machine produces in the same period of time. Together they can do a job in 3 hours. How long will it take each machine alone to do the same job?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Slow Machine: 1%2Fx JOBS per HOUR
Fast Machine 3%2Fx jobs per hour
Both Machines Combined: 1%2Fx%2B3%2Fx=1%2F3 jobs per hour



%281%2B3%29%2Fx=1%2F3

4%2Fx=1%2F3

highlight%28x=12%29

Slow machine does one job alone in 12 hours.
Fast machine does the job in 4 hours.