SOLUTION: It takes a printer 15 hours to print the class schedules for all of the students in a college. A faster printer can do the job in 9 hours. How long will it take to do the job if bo

Algebra ->  Rate-of-work-word-problems -> SOLUTION: It takes a printer 15 hours to print the class schedules for all of the students in a college. A faster printer can do the job in 9 hours. How long will it take to do the job if bo      Log On


   



Question 1153330: It takes a printer 15 hours to print the class schedules for all of the students in a college. A faster printer can do the job in 9 hours. How long will it take to do the job if both printers are used?
Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
.

The slower printer makes  1%2F15  of the job per hour.


The faster printer can make  1%2F9  of the job per hour.


Working together, the printers make 1%2F15 + 1%2F9  of the job per hour.


    1%2F15 + 1%2F9 = 3%2F45+%2B+5%2F45 = 8%2F45  of an hour.


It means, that the two printers will complete the job in  45%2F8  hours = 55%2F8 hours = 5 hours and 37.5 minutes.


ANSWER.  The two printers will complete the job in  45%2F8  hours = 55%2F8 hours = 5 hours and 37.5 minutes.

Solved.

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It is a standard and typical joint work problem.

There is a wide variety of similar solved joint-work problems with detailed explanations in this site.  See the lessons
    - Using Fractions to solve word problems on joint work
    - Solving more complicated word problems on joint work
    - Selected joint-work word problems from the archive


Read them and get be trained in solving joint-work problems.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic
"Rate of work and joint work problems"  of the section  "Word problems".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.