About 770 miles.
The driving distance from Logan, Utah to Park City, Utah is 111 miles via I-15 S per MapQuest. The driving time per MapQuest is 1 hour and 52 minutes.
The driving distance from Franklin, Kentucky to Park City, Utah is 1638 miles via I-80 W per MapQuest. The driving time per MapQuest is 23 hours and 26 minutes.
The distance is 77.8 miles or 1 hour and 17 minutes driving.
It is 520 miles according to Google Maps.
250 miles
The driving distance from Salt Lake City, Utah to Bryce Canyon National Park is 269 miles via I-15 S to UT-20 per MapQuest. The driving time per MapQuest is 3 hours and 59 minutes.
You can park as far away as you want. However you should never park closer than 10 feet.
The driving distance from Morrison, Colorado to Salt Lake City, Utah is 547 miles via I-80 W per MapQuest. The driving time per MapQuest is 7 hours and 38 minutes.
The driving distance from Turlock, California to Salt Lake City, Utah is 736 miles via I-80 E per MapQuest. The driving time per MapQuest is 10 hours and 27 minutes.
The driving distance from Salt Lake City, UT to Cody, WY is 459 miles via I-80 E per MapQuest. The driving time per MapQuest is 7 hours and 28 minutes.
That would be about 298 miles from Saint George to Salt Lake City Utah.
The driving distance from New York City to Dollywood theme park in Pigeon Forge, Tennessee is 702 miles per MapQuest. The driving time per MapQuest is 11 hour and 2 minutes.