The fair place to meet is Oklahoma City, OK — the city closest to the midpoint of Atlanta and Salt Lake City. From the farther side that’s about 18 hr 4 min of driving.
Recommended midpoint
Oklahoma City, OK
From Atlanta
15 hr 50 min
755 mi to Oklahoma City
From Salt Lake City
18 hr 4 min
861 mi to Oklahoma City
Atlanta has the shorter trip; the split is off by about 2 hr 14 min. The alternatives below can even it out. Atlanta and Salt Lake City are about 1,581 miles apart.
Atlanta and Salt Lake City are about 1,581 miles apart by road. Split the difference and you arrive near Oklahoma City, the city closest to the halfway point between them. That puts roughly 15 hr 50 min of driving on the Atlanta side and 18 hr 4 min on the Salt Lake City side — the fairest single meeting point among the cities near the middle.
Over this distance most people will fly rather than drive the whole way. Oklahoma City still makes a fair, central place for Atlanta and Salt Lake City to converge, splitting the travel instead of asking one side to cross the country.
If Oklahoma City doesn't have what you're after, Kansas City and Omaha are also close to the midpoint and worth a look — each keeps the drive reasonably balanced between Atlanta and Salt Lake City.
Oklahoma City, often shortened to OKC, is the capital and most populous city in the U.S. state of Oklahoma. It is the 21st-most populous U.S. city and 8th largest in the Southern United States, with a population of 681,054 at the 2020 census. Read more →
Atlanta is the capital and most populous city of the U.S. state of Georgia. It is the county seat of Fulton County and extends into neighboring DeKalb County. Read more →
Salt Lake City, often shortened to Salt Lake or SLC, is the capital and most populous city of the U.S. state of Utah. It is the county seat of Salt Lake County, the most populous county in the state. Read more →
City descriptions adapted from Wikipedia (CC BY-SA); photos via Wikimedia Commons, credited above.
Estimates use straight-line distance and typical road speeds; real drive times vary with route and traffic.