Question 1032122
.
Three men can paint a wall in 2 hours. How many men would be needed to paint 3 identical walls in 3 hours?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


<pre>
The rate of work is {{{1_wall/(3_men*2_hours)}}} = {{{1/6}}} {{{wall/man_hour)}}} in the first case.

In the second case the rate of work is {{{3_walls/(x_men*3_hours)}}} = {{{3/(x*3)}}} = {{{1/x}}} in terms of the same unit,  

where  x  is an unknown number of mens in the second case.


So, we have a proportion

{{{1/6}}} = {{{1/x}}}.

From the proportion, x = 6.

<U>Answer</U>. 6 men are needed.
</pre>