Question 1187050
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<pre>

Let t be the travel time of the car (in hours);

then the travel time of the cyclist is (t+2) hours.


The distance equation is

    45*t = 20*(t+2).


Simplify and find t

    45t = 20t + 40

    45t - 20t = 40

       25t    = 40

         t    = {{{40/25}}} = {{{8/5}}}  hours = 1 {{{3/5}}}  hours = 1 hour and 36 minutes = 1.6 hours.


The distance from the start to the catching point is  45*1.6 = 72 miles.    <U>ANSWER</U>
</pre>

Solved.