SOLUTION: A company has two large computers. The slower computer can send all the company's email in 30 minutes. The faster computer can complete the same job in 10 minutes. If both computer

Algebra ->  Linear-equations -> SOLUTION: A company has two large computers. The slower computer can send all the company's email in 30 minutes. The faster computer can complete the same job in 10 minutes. If both computer      Log On


   

Question 1086596: A company has two large computers. The slower computer can send all the company's email in 30 minutes. The faster computer can complete the same job in 10 minutes. If both computers are working together, how long will it take them to do the job?
Answer by ikleyn(52824) About Me  (Show Source):
You can put this solution on YOUR website!
. 
The individual rates of the computers are 1%2F30 and 1%2F10 of the job per minute.


Their combined rate of work is 1%2F30+%2B+1%2F10 = 1%2F30+%2B+3%2F30 = 4%2F30 of the job per minute.


Hence, it will take 30%2F4 = 7.5 minutes to complete the job working together.


It is 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".