Question 1058142
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Dinu & Hemu can plough a field in 15 days . If Dinu alone can plough 1/8 of the field in 5 days , 
how many days will Hemu take to do the same work alone?
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<pre>
If Dinu alone can make 1/8 of the job in 5 days then Dinu can do the entire job in 8*5 = 40 days.

Now, Dinu and Hemu can make {{{1/15}}} of the job per day, working together, as we know from the condition.

From the other side, Dinu can make {{{1/40}}} of the job per day, working alone.

Hence, Hemu makes {{{1/15 - 1/40}}} of the work per day, working alone.

{{{1/15 - 1/40}}} = {{{8/120 - 3/120}}} = {{{5/120}}} = {{{1/24}}}.

If Hemu makes {{{1/24}}} of the work per day, he can complete the entire job in 24 days, working alone.

<U>Answer</U>.  Hemu can complete the entire job in 24 days, working alone.
</pre>


<U>The lesson to learn from this solution</U>: 


&nbsp;&nbsp;&nbsp;&nbsp; There is no need to solve equations.
&nbsp;&nbsp;&nbsp;&nbsp; You can solve it using simple logic.
&nbsp;&nbsp;&nbsp;&nbsp; You also are supposed to operate freely with fractions. That's all.


&nbsp;&nbsp;&nbsp;&nbsp; Simple logic and fractions.



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There is a bunch of lessons on similar joint-work problems with detailed explanations 

&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> 

in this site.


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>".