Question 1174455
.
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?
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<pre>
Ana makes       {{{1/7}}}  of the job per day, working alone.

Shereene makes  {{{1/5}}}  of the job per day, working alone.

Ana, Shereene and Eufemia  make  {{{1/2}}}  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"


     {{{1/2 - 1/7 - 1/5}}} = use the common denominator 70 = {{{35/70 - 10/70 - 14/70}}} = {{{11/70}}}  of the job per day.


Hence, Eufemia will complete the job in  {{{70/11}}}  days = 6 {{{4/11}}}  days, working alone.     <U>ANSWER</U>
</pre>

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. &nbsp;See the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Word-problems-WORKING-TOGETHER-by-Fractions.lesson>Using Fractions to solve word problems on joint work</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Solving-more-complicated-word-problems-on-joint-work.lesson>Solving more complicated word problems on joint work</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Selected-problems-from-the-archive-on-joint-work-word-problems.lesson>Selected joint-work word problems from the archive</A> 



Read them and get be trained in solving joint-work problems.


Also, &nbsp;you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this textbook under the topic 
"<U>Rate of work and joint work problems</U>" &nbsp;of the section &nbsp;"<U>Word problems</U>".



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.