The fair place to meet is Detroit, MI — the city closest to the midpoint of Minneapolis and Washington. From the farther side that’s about 11 hr 22 min of driving.
Recommended midpoint
Detroit, MI
From Minneapolis
11 hr 22 min
542 mi to Detroit
From Washington
8 hr 16 min
394 mi to Detroit
Washington has the shorter trip; the split is off by about 3 hr 6 min. The alternatives below can even it out. Minneapolis and Washington are about 931 miles apart.
Minneapolis and Washington are about 931 miles apart by road. Split the difference and you arrive near Detroit, the city closest to the halfway point between them. That puts roughly 11 hr 22 min of driving on the Minneapolis side and 8 hr 16 min on the Washington 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. Detroit still makes a fair, central place for Minneapolis and Washington to converge, splitting the travel instead of asking one side to cross the country.
If Detroit doesn't have what you're after, Chicago and Indianapolis are also close to the midpoint and worth a look — each keeps the drive reasonably balanced between Minneapolis and Washington.
Detroit is the most populous city in the U.S. state of Michigan. It is situated on the bank of the Detroit River across from the Canadian city of Windsor, Ontario. It is the 26th-most populous city in the United States and the largest U.S. Read more →
Minneapolis is a city in Hennepin County, Minnesota, United States, and its county seat. With a population of 429,954 as of the 2020 census, it is the state's most populous city. 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.