SOLUTION: Please solve me this question. "machine a can do a job in 10 hours. machine B takes 6 hours to complete the same job. how long it will take machine A and B to do the job if they w

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Please solve me this question. "machine a can do a job in 10 hours. machine B takes 6 hours to complete the same job. how long it will take machine A and B to do the job if they w      Log On


   



Question 1199070: Please solve me this question. "machine a can do a job in 10 hours. machine B takes 6 hours to complete the same job. how long it will take machine A and B to do the job if they work together.? "
Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
.
Please solve highlight%28cross%28me%29%29 this highlight%28cross%28question%29%29 problem.
"machine A can do a job in 10 hours.
machine B takes 6 hours to complete the same job.
how long it will take machine A and B to do the job if they work together.? "
~~~~~~~~~~~~~~~

Machine A makes  1%2F10  of the job in one hour.

Machine B makes  1%2F6  of the job in one hour.


Working together, the two machines make  1%2F10%2B1%2F6 = 3%2F30%2B5%2F30 = 8%2F30 = 4%2F15 of the job per hour.


It means that working together, the two machines will complete the job in  15%2F4 = 33%2F4 hours = 3 hours and 45 minutes.    ANSWER

Solved.

-------------------

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.