Question 114861
Let the time to make the trip at 65 mph be t.  Then the time to make the trip at 55 mph is t + 2.


So one expression for the distance using {{{d=rt}}} is {{{65t}}}.  And another expression for the same distance is {{{55(t+2)}}}.  Since these expressions are for the same distance, we can say that they are equal.


{{{65t=55(t+2)}}}
{{{65t-55t=110}}}
{{{10t=110}}}
{{{t=11}}}.  It takes 11 hours to drive there now.


Check:  {{{65*11=715}}}, so the trip must be 715 miles.  The trip at 55 must have taken 11 + 2 or 13 hours, so check {{{55*13=715}}}.