Updated

OMAHA, Nebraska -- A 39-year-old man who led police on a high-speed car chase early Wednesday opened fire hours later at an Omaha hospital, grazing two police officers before they gunned him down, authorities said.

Jeffrey Layten died of his wounds Wednesday afternoon at Creighton University Medical Center, Omaha Police spokesman Jacob Bettin said.

Police did not disclose a possible motive for the shootings, and the hospital's CEO, Gary Honts, said he didn't know of any link Layten may have had to the hospital.

According to police, Layten fired at the two officers, grazing them, and the officers returned fire.

Police Lt. Darci Tierney told television station KETV that the officers' "grazing wounds" were minor. They were treated at the hospital and released.

Police have not said why they think Layten was at the hospital, but hours earlier he had fled the crash scene after driving his pickup truck into a utility pole following a high-speed police chase.

Police said he took off in his pickup truck with three guns after a family argument.

Layten owned the Upland Fields Hunt Club, had at least four years of Army training and "was a crack shot," Omaha attorney James Martin Davis said outside the hospital.