Lettie just got her driver's license. Her friends soon nicknamed her “Leadfoot” because she is always going $80$ mph on the freeway even though the speed limit is $65$ mph.

1. At this speed, how long will it take her to travel 50 miles?

   Hint (a):

   Write an equation. Let $x=$ # of hours. Lettie drives, $80x = 50$.

   $0.625$ hours or about $37.5$ minutes.

2. How long would it take her if she drove the $50$ miles at $65$ mph?

   Hint (b):

   Write an equation similar to the one in part (a).

   Answer (b):

   $0.77$ hours or about $46.2$ minutes.

3. Speeding tickets carry fines of about $$200$ and usually increase the cost of insurance. If Lettie gets a ticket on this trip, then what would be her cost per minute of time saved?

   Hint (c):

   Divide $200 by the number of minutes saved.

   Answer (c):

   At least $$22.99$ per minute.