BRANSON, Mo.—Christian Vande Velde won the time trial Wednesday to take the overall lead after the third stage of the Tour of Missouri.

Vande Velde, riding for Garmin-Chipotle, completed the hilly 18-mile course in windy conditions in 39 minutes, 51 seconds.

Australia’s Michael Rogers (Team Columbia), a three-time world time trial champion, was second in 40:12, and Canada’s Svein Tuft (Symmetrics) followed in 40:24.

Vande Velde, the Boulder, Colo., rider who began the stage 24th, 20 seconds behind Mark Cavendish, took a 21-second margin over Rogers. Tuft was...

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