Question 1151652
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<pre>

In the first scenario, the rate of work is  {{{p/(10*5)}}} = {{{p/50}}}  job per day per worker.


In the second scenario, the rate of work is  {{{k/((10+5)*d)}}} = {{{k/(15*d)}}}  job per day per worker,

where "d" is the unknown number of days.



The rate of work is assumed to be the same in both cases, which produces this equation


    {{{p/50}}} = {{{k/(15d)}}}.


From this equation (from this proportion)


    15*d*p = 50*k,


    d = {{{(50*k)/(15*p)}}} = {{{(10k)/(3p)}}}.    <U>ANSWER</U>
</pre>

Solved.


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&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-problem.lesson>Rate of work problems</A> 

in this site.