A woman was found dead on the side of a rural Eastern Shore road Friday and her injured husband told investigators they were carjacked on the New Jersey Turnpike, according to Maryland State Police.

The St. Mary's County man in his 20s told police he and his wife, also in her 20s, were carjacked early Friday as they drove home from Brooklyn, where they own another home, police spokesman Greg Shipley said.

Shipley said he told officers the man forced them to drive to the Crumpton area in Kent County, where he bound the man's hands and feet on Route 290, four miles north of Route 301.

He told police his wife tried to escape then but the carjacker caught and killed her in a rural area where homes are at least a quarter-mile apart, Shipley said. Shipley didn't say how police believe the woman died and her name is being withheld pending notification of her family.

The husband said the man armed with a knife and gun drove away around 1 a.m. in the couple's blue Honda Accord with Virginia registration: 876-718. The husband, who had a knife wound when police arrived, told officers that he was able to free himself after several hours and called 911 about 6 a.m. from a nearby home.

Police found the body of the woman a few minutes' walk away from that house.

The New York City Police Department, New Jersey State Police and Kent County Sheriff's Office are also investigating, Shipley said.