ResortQuest At Deer Valley Park City Hotel located on or within one block of a free shuttle route. The historic, charming mountain town of Park City, Utah, lies just approximately 35 miles from Salt Lake International Airport making its world famous light, dry powder also some of the most conveniently located in the world. It's take about 50 minutes driving time from hotel to airport. ResortQuest At Deer Valley Park City Hotel and the Canyon ski areas are a short distance away.