Question 1168155
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You have the right triangle.


One leg is the distance traveled by Carol.  It is  40*t miles.


The other leg is the distance covered by George.  It is 75*t miles.


The separating distance is the hypotenuse. It is  

    {{{sqrt((40t)^2 + (75t)^2)}}} = {{{sqrt((40^2 + 75^2)*t^2)}}} = {{{sqrt(40^2 + 75^2)*t}}} = 85*t  miles long.   <U>ANSWER</U>
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Solved.