I think the only reasonable way to interpret this question is "is Rust written by reasonably competent Rust developer spending a reasonable amount of time faster/slower than an equally competent C developer spending the same amount of time".

I don't think a language should count as "fast" if it takes an expert or an inordinate amount of time to get good performance, because most code won't have that.

So on those grounds I would say Rust probably is faster than C, because it makes it much much easier to use multithreading and more optimised libraries. For example a lot of C code uses linked lists because they're easy to write in C, even when a vector would be faster and more appropriate. Multithreading can just be a one line change in Rust.