Question 1165433
<pre>
           TIME Alone, hours             RATE in job per hour
Homer        x                           1/x
Mike        x-1                          1/(x-1)
Together                                 1/x+1/(x-1)
</pre>

Following the description,  {{{7(1/x+1/(x-1))+6(1/(x-1))=1}}}


Simplify and solve.



The work omitted here but Homer's time if working alone, x, appears to be about 20.66 hours or 20 hours 40 minutes.