Question 345517
In {{{11}}} min, the 1st car travels
{{{d = r*t}}}
{{{d = 60*(11/60)}}} 
{{{d = 11}}} mi
Assume you have a stopwatch and you start it
when the 2nd car enters the freeway.
Write equations for both cars that show
{{{d[x]}}} as the distance that the 2nd car goes
in order to catch the 1st car.
1st car:
(1) {{{d[x] - 11 = 60t}}}
(1) {{{d[x] = 60t + 11}}}
2nd car:
(2) {{{d[x] = 65*t}}}
Note that the time {{{t}}} is when you stop the stopwatch
Set (1) = (2)
{{{60t + 11 = 65t}}}
{{{5t = 11}}}
{{{t = 2.2}}} hr
It will take 2 hrs and 12 min for 2nd to catch 1st
check:
(1) {{{d[x] - 11 = 60t}}}
(1) {{{d[x] - 11 = 60*2.2}}}
{{{d[x] = 132 + 11}}}
{{{d[x] = 143}}} mi
and
(2) {{{d[x] = 65*t}}}
(2) {{{d[x] = 65*2.2}}}
{{{d[x] = 143}}} mi
OK