Question 1122435
.
The algebra solution is &nbsp;<U>THIS</U> :


<pre>
Complete the square


4t^2 - 36t + 95 = {{{(2t-9)^2}}} - {{{9^2}}} + 95 = {{{(2t-9)^2}}} + 95 - 81 = {{{(2t-9)^2}}} + 14.


The term   {{{(2t-9)^2}}}  is always non-negative, and with positive addend of 14 it never becomes less than 14 kilometers.


<U>Answer</U>.  The minimum distance is 14 kilometers.
</pre>