Question 1067736
.
Two workers A and B together could finish a work in 8 days. They worked together for 6 days and A left the work. 
The remaining work was completed by B alone in 6 days. How many days would each take to complete the work individually?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


<pre>
Since two workers A and B together could finish the work in 8 days, and since they worked together for 6 days, 
they just completed {{{6/8}}} = {{{3/4}}} of the work.

Hence, the remaining is {{{1/4}}} of the work.

Since B completes it (completes this {{{1/4}}} of the work) in 6 days, he can make the entire job in 6*4 = 24 days.


Now, the condition says that they complete the job in 8 days, working together.
During these 8 days, worker B makes {{{1/3}}} of the job.

Hence, worker A alone makes {{{2/3}}} of the job in 8 days.

Then, A makes the entire job in 12 days.
</pre>

Solved.  A needs 12 days to complete the job alone.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;B needs 24 days to complete the job alone..



You do not need solve equations to get the answer.
All you need is to organize your thoughts LOGICALLY.



There is a wide variety of solved joint-work problems with detailed explanations in this site. 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, 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>" of the section "<U>Word problems</U>".