SOLUTION: (wors proplem) A group of friends nailed it when it comes to video editing. Ana can edit a video in 7 days alone, while shereene can edit the sama video in 5 days. If shereene, An

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: (wors proplem) A group of friends nailed it when it comes to video editing. Ana can edit a video in 7 days alone, while shereene can edit the sama video in 5 days. If shereene, An      Log On


   



Question 1174455: (wors proplem)
A group of friends nailed it when it comes to video editing. Ana can edit a video in 7 days alone, while shereene can edit the sama video in 5 days. If shereene, Ana, and Eufemia decided to team up in editing the video that they wanted to submit in a contest, and finished it up for 2 days, how long will take if only Eufemia edit same video?
(question)
Is it a Rational Function? Rational inequality? Rational equation?

Answer by ikleyn(52921) About Me  (Show Source):
You can put this solution on YOUR website!
.
A group of friends nailed it when it comes to video editing. Ana can edit a video in 7 days alone,
while shereene can edit the sama video in 5 days. If shereene, Ana, and Eufemia decided to team up
in editing the video that they wanted to submit in a contest, and finished it up for 2 days,
how long will take if only Eufemia edit same video?
~~~~~~~~~~~~

Ana makes       1%2F7  of the job per day, working alone.

Shereene makes  1%2F5  of the job per day, working alone.

Ana, Shereene and Eufemia  make  1%2F2  of the job per day, wotking together.


It is clear that the Eufemia's rate of work is the combuned rate of work of the three

     MUNIS rate of work of "A" and "S"


     1%2F2+-+1%2F7+-+1%2F5 = use the common denominator 70 = 35%2F70+-+10%2F70+-+14%2F70 = 11%2F70  of the job per day.


Hence, Eufemia will complete the job in  70%2F11  days = 6 4%2F11  days, working alone.     ANSWER

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.