SOLUTION: It takes a printer 8 hours to print the class schedules for all the students in a college. A faster printer can do the job in 6 hours. How long will it take to do the job if both p

Algebra ->  Rate-of-work-word-problems -> SOLUTION: It takes a printer 8 hours to print the class schedules for all the students in a college. A faster printer can do the job in 6 hours. How long will it take to do the job if both p      Log On


   

Question 1038329: It takes a printer 8 hours to print the class schedules for all the students in a college. A faster printer can do the job in 6 hours. How long will it take to do the job if both printers are used?
Answer by Othel(27) About Me  (Show Source):
You can put this solution on YOUR website!
The first printer, in one hour, can do 1%2F8 of the whole job. The second printer, in one hour, can do 1%2F6 of the job.
When we add these together, we find out what both printers can do together in one hour...
1%2F8%2B1%2F6
Now find a common denominator...
3%2F24%2B4%2F24=7%2F24
Together, the printers can do 7%2F24 of the work in one hour.
The time for the entire job is represented by the reciprocal of what can be done in one hour, so the total job can be done in...
24%2F7hours, or approximately 3.4 hours.
I hope this helps! Learn on