James K. Farris, 28, a member of the Colorado State Patrol and a former resident of the Washington area, died Nov. 29 of injuries suffered when his patrol car crashed during a high-speed chase.

Officials of the Colorado State Patrol at Frisco, Colo., where Mr. Farris was stationed, said that Mr. Farris was traveling at high speed when his car ran off a highway. He died at the Summit Medical Center in Frisco.

Mr. Farris was born into an Air Force family at Lexington, Va., and grew up at various military posts. He lived in Falls Church from 1960 to 1964, in Alexandria from 1966 to 1968, when he attended Fort Hunt High School, and in Washington from 1970 to 1976.

He served in the Army from 1975 to 1978 and joined the Colorado State Patrol in 1979. He had been assigned to the Frisco station since he completed his training.

Survivors include his wife, Patricia Joan (P. J.) of Dillon, Colo., where Mr. Farris lived; his mother, Regina Olshefski of Fort Pierce, Fla.; his father, retired Air Force Col. Stephen A. Farris Jr. of Reston; three sisters, Jeanne Bone of Tuscon, Ariz., Bobbie Ann DiDomenicis of Newark, Del., and Army 2d Lt. Susan R. Farris of Reston, and one brother, Stephen A. Farris III, of Newport News, Va.

The family suggests that expressions of sympathy be in the form of contributions to the James K. Farris Memorial Fund, c/o The Snow Bank, Box D, Dillon, Colo., 80435.