He was always sold as being faster than Peter and Venom in the comics, but thanks to his stupid durability, he just facetanks a lot of stuff rather than dodging it.
Movie version is... not particularly fast. The Venom movies don't really have a ton of speed feat situations, again, as the symbiotes just facetank physical abuse until they can't (see: Sentry instantly flying Carnage into orbit and ripping him in half in Sentry's first modern appearance).