The fair place to meet is Dallas-Fort Worth, TX — the city closest to the midpoint of El Paso and Memphis. From the farther side that’s about 11 hr 57 min of driving.
Recommended midpoint
Dallas-Fort Worth, TX
From El Paso
11 hr 57 min
570 mi to Dallas
From Memphis
8 hr 48 min
420 mi to Dallas
Memphis has the shorter trip; the split is off by about 3 hr 9 min. The alternatives below can even it out. El Paso and Memphis are about 975 miles apart.
El Paso and Memphis are about 975 miles apart by road. Split the difference and you arrive near Dallas, the city closest to the halfway point between them. That puts roughly 11 hr 57 min of driving on the El Paso side and 8 hr 48 min on the Memphis 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. Dallas still makes a fair, central place for El Paso and Memphis to converge, splitting the travel instead of asking one side to cross the country.
If Dallas doesn't have what you're after, Oklahoma City and Austin are also close to the midpoint and worth a look — each keeps the drive reasonably balanced between El Paso and Memphis.
Dallas is a city in the U.S. state of Texas. Located in the state's northern region, it is the ninth-most populous city in the United States and third-most populous city in Texas, with a population of 1.3 million at the 2020 census. Read more →
El Paso is a city in and the county seat of El Paso County, Texas, United States. It is the 22nd-most populous city in the U.S., sixth-most populous city in Texas, and the most populous city in West Texas with a population of 678,815 at the 2020 census. Read more →
Memphis is a city in Shelby County, Tennessee, United States, and its county seat. 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.