Question 998213
<pre>
              speed          time         distance
CYCLIST        r             8.5         {{{(r)(8.5)}}}
CAR           r+30.8         8.5         {{{(r+30.8)(8.5)}}}
Total                                    442
</pre>


Total distances of both is the distance between the two borders of the state.
{{{(r)(8.5)+(r+30.8)(8.5)=442}}}, and solve for r.


The question to obtain the answer is  {{{(r+(r+30.8))/2}}}, for AVERAGE  RATE OF EACH.