Question 1005078
From the starting time reference point, car A must go d+1 miles while car B must just go d miles; time t is the same for both cars.

<pre>
         rate     time    distance
carA       65      t      d+1
carB       55      t       d
</pre>

RT=D uniform travel rates rule.
The work should be clear to find.


...that is, {{{system(65t=d+1,55t=d)}}}, to solve this system.  Make the obvious substitution:


{{{65t=55t+1}}}

{{{10t=1}}}

{{{t=1/10}}} the fraction of one hour, which is 6 minutes.