SOLUTION: In order to create tunnels, civil engineers devise plans where tunnel-boring machines begin drilling at both ends of the tunnel and meet somewhere in between. A tunnel is being bui

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Question 1138739: In order to create tunnels, civil engineers devise plans where tunnel-boring machines begin drilling at both ends of the tunnel and meet somewhere in between. A tunnel is being built through a section of mountain. One tunnel-boring machine alone can finish the tunnel in 4 years. Another machine can finish the job in 3 years. If both machines start at opposite ends and work at the same time, when will the tunnel be finished?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
First machine makes  1%2F4  of the job per year.


Second machine makes  1%2F3 of the job per year.


Working together, they make  1%2F4+%2B+1%2F3 = 3%2F12+%2B+4%2F12 = 7%2F12 of the job per year.


It means that they need  12%2F7 = 15%2F7 years to complete the job working together.    ANSWER

Just 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.