There was a race of four wheel pedal vehicles in Hradec Kralove, Czech Republic in the middle of July 2011. Such race is the only one in the Czech Republic and is organised just once a year, but there are more of them mainly in France. Also most of the racers came from France. You can see that not only speed is important but also a look of the vehicle. We do not have more info so if you know something more, just post a comment.
You can find a video under the link here under. Unfornatenuly only in Czech, but with nice shots and good atmosphere.
Source: TV Hradec