SOLUTION: Bill needs to make a large number of photocopies.Copier 1 alone can make the copies in 4 hours while copier 2 alone can complete job in 3 hours. If Bill runs the two photocopiers a

Question 1098431: Bill needs to make a large number of photocopies.Copier 1 alone can make the copies in 4 hours while copier 2 alone can complete job in 3 hours. If Bill runs the two photocopiers at once.how long will it take to complete the job?
Answer by ikleyn(52848) (Show Source): You can put this solution on YOUR website!
.

The rate of the Photocopier 1 is  of the job per hour, which means that it does  of the job per hour.


The rate of the Photocopier 2 is  of the job per hour, which means that it does  of the job per hour.


When the copiers work together, their combined rate of work is  =  =  of the job per hour.


Therefore, it will take  of an hour for two copiers to complete the job working together.

Solved.

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It is a 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.

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