CARRABASSETT VALLEY, Maine — Lindsey Vonn, the overall women's World Cup champion, and Jimmy Cochran won slalom titles at the U.S. Alpine Championships on Saturday in a competition delayed because of rain, snow and wind.

Vonn led both runs to win the event, which is not her strongest, with a combined time of 1 minute, 26.31 seconds for her first career win at Sugarloaf. Hailey Duke was second in 1:28.21 and Jenny Lathrop finished third in 1:28.42.

"I'm still skiing well even though I'm completely fried," Vonn said. "It proves that my hard work in the summer has paid off and there's still some strength in the old legs."

Cochran successfully defended his title with a combined time of 1:26.69, with Cody Marshall (1:27.90) second and Tim Jitloff (1:28.16) third.

The only thing that could've made the win better would've been if Ted Ligety and Bode Miller had been competing, Cochran said. Miller was resting after winning the men's overall World Cup title, and Ligety, who holds the World Cup giant slalom title, has an injured thumb.

"Every race he's in he makes it more difficult to win," Cochran said of Miller, a fellow New Hampshire resident, "but I wouldn't trade this for anything."