I have a 2002 mercury cougar that stop's running driving down the road.

What is your question?

The car has been doing fine except one day I had drove it bout 25 miles and it just did nothing but died going down the highway. The lights don't go dim so I figured it wasn't the alt. My battery post was pretty coroaded so I cleaned them really good. It makes me mad because I just bought this car from a car lot and haven't had it bout a couple of week's and it all of a sudden started doing this. Please help me figure this problem out. Also it won't turn over after it dies for at least about five or ten mins. Then it will start rite back up.