Question 1036630
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A farmer can plow a field in 40 minutes. His son can plow the same field in 1 hour. 
How long would it take them to plow the field if they worked together?
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<pre>
The rate of the farmer is {{{1/40}}} of the field per minute.

The rate of the son is {{{1/60}}} of the field per minute.

When working together, their rate is the sum {{{1/40 + 1/60}}} = {{{3/120 + 2/120}}} = {{{5/120}}} = {{{1/24}}}.

Hence, it takes 24 minutes for them to plow the field if they work together.
</pre>

You can find many other similar solved joint-work problems in 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> 

in this site.


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