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Sounds like a segment from The Amanda Show.
That was a segment of the show " All That" The girl who liked eggs was Debbie, She was from another skit on All That called " The Girls' Room". I know that clips from "The girls' room" is on Youtube, so the car skit is probably there too (Sorry I don't specifically remember the name of that skit)
oops I meant the Amanda show! Haha don't know how I mixed those two up.
Yup, it's a skit from The Amanda Show called "Stranded", I believe. There was another "Stranded" skit in which a different group of characters competed in a bathtub.
https://www.youtube.com/watch?v=vnYK4vWUos0
I loved this. And yes, there was a Mr. Gullible.
I remember this show on Nickelodeon—actually, I don't think this was the whole show, but some sort of silly segment:
There were these six people who were placed in a car, and the last one still in it wins. I remember a man named Mr. Gullible(?) who, as his namesake, was fooled into leaving the car early in the competition. There was also a girl who liked eggs for some reason.