Cameron Ridley added 17 points and Isaiah Taylor scored 14 for the Longhorns (20-5, 9-3 Big 12), winners of two straight following a loss to Kansas State last week.
Demarcus Holland provided 11 points, seven assists and five rebounds and Jonathan Holmes pitched in with 11 points and seven rebounds for Texas.
The Mountaineers (15-11, 7-6) were paced by Eron Harris with 21 points.
Juwan Staten contributed 14 points, seven assists and six rebounds.
Notable deaths of 2014 [PHOTOS]