Question 889518
Uniform Rates Situation for Doing A Job, RT=J rate time job
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Individual Rates:
Homer, 1/x
Mike, 1/(x-1)
x=time for Homer alone to do the one job.



<i>They worked together for 3 hours</i>

{{{(1/x)*3+(1/(x-1))*3}}}, the amount of job done.


<i>Mike finished the job working by himself in an additional 3 hours.</i>

{{{(1/(x-1))*3}}},Finishing the undone part of the job.


Both of those parts make a sum of 1 whole job.
{{{highlight((1/x)*3+(1/(x-1))*3+(1/(x-1))*3=1)}}};
Understanding how this equation is developed is most of the solution.  The solving of the equation is just arithmetic with variable x in it.  Solve for x.