The fair place to meet is Denver, CO — the city closest to the midpoint of Kansas City and Las Vegas. From the farther side that’s about 12 hr 41 min of driving.
Recommended midpoint
Denver, CO
From Kansas City
11 hr 41 min
557 mi to Denver
From Las Vegas
12 hr 41 min
605 mi to Denver
Kansas City has the shorter trip; the split is off by about 1 hr. The alternatives below can even it out. Kansas City and Las Vegas are about 1,141 miles apart.
Kansas City and Las Vegas are about 1,141 miles apart by road. Split the difference and you arrive near Denver, the city closest to the halfway point between them. That puts roughly 11 hr 41 min of driving on the Kansas City side and 12 hr 41 min on the Las Vegas 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. Denver still makes a fair, central place for Kansas City and Las Vegas to converge, splitting the travel instead of asking one side to cross the country.
If Denver doesn't have what you're after, Albuquerque and El Paso are also close to the midpoint and worth a look — each keeps the drive reasonably balanced between Kansas City and Las Vegas.
Denver is the capital and most populous city of the U.S. state of Colorado. Officially a consolidated city and county, it is located in the South Platte River valley on the western edge of the High Plains, and is just east of the Front Range of the Rocky… Read more →
Kansas City, abbreviated KC or KCMO, is the largest city in the U.S. state of Missouri by both population and area. It is located on the Missouri River at its confluence with the Kansas River, within Jackson, Clay, Platte and Cass counties. Read more →
Las Vegas, colloquially shortened to Vegas, is the most populous city in the U.S. state of Nevada and the county seat of Clark County. It is the 24th-most populous city in the United States, with 641,903 residents at the 2020 census. 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.