The fair place to meet is Charlotte, NC — the city closest to the midpoint of Atlanta and Washington. From the farther side that’s about 6 hr 55 min of driving.
Recommended midpoint
Charlotte, NC
From Atlanta
4 hr 45 min
226 mi to Charlotte
From Washington
6 hr 55 min
330 mi to Charlotte
Atlanta has the shorter trip; the split is off by about 2 hr 10 min. The alternatives below can even it out. Atlanta and Washington are about 542 miles apart.
Atlanta and Washington are about 542 miles apart by road. Split the difference and you arrive near Charlotte, the city closest to the halfway point between them. That puts roughly 4 hr 45 min of driving on the Atlanta side and 6 hr 55 min on the Washington side — the fairest single meeting point among the cities near the middle.
That's a half-day drive from each side, so Charlotte suits an overnight or a weekend rather than a quick coffee — long enough to want a reason to stay, short enough to drive.
If Charlotte doesn't have what you're after, Raleigh and Richmond are also close to the midpoint and worth a look — each keeps the drive reasonably balanced between Atlanta and Washington.
Charlotte is the most populous city in the U.S. state of North Carolina. With a population of 874,579 at the 2020 census, it is the 14th-most populous city in the U.S., seventh-most populous city in the South, and second-most populous city in the Southeast. 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 →
Washington, D.C., officially the District of Columbia and commonly known as simply Washington or D.C., is the capital city and federal district of the United States. 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.