SOLUTION: Working together, it takes two computers 4 minutes to send out a company's email. If it takes the slower computer 9 minutes to do the job on its own, how long will it take the fast

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Question 1143495: Working together, it takes two computers 4 minutes to send out a company's email. If it takes the slower computer 9 minutes to do the job on its own, how long will it take the faster computer to do the job on its own?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39799)   (Show Source): You can put this solution on YOUR website!

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Answer by ikleyn(53763)   (Show Source): You can put this solution on YOUR website!
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The rate of work of two computers working together is    of the job per minute.


The rate of work of the slower computer is    of the job per minute.


Hence, the rate of work of the faster computer is the difference   -  =  =   of the job per minute.


It means that the faster computer can complete the job in  minutes = 7 minutes and 12 seconds working alone.     ANSWER 

Solved.
 
     When solving problems like this one, you should know and should remember two basic facts:

         - the rate of work of two workers/machines/tubes  is the sum of the rates of individuals;

         - If you are given the combined rate of work of two workers/machines/tubes and the rate of work of one individual, 
           then the rate of work of the other individual is the difference of rates.

Completely self-evident facts.

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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.


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