I don't know if I really type faster than my coworkers, but they lose significant speed using the mouse. E.g. when I copy and paste 3 words, I select them with 3x Ctrl-Shift-Left, then copy with Ctrl-C, then change windows with Alt-Tab and paste with Ctrl-V. Who doesn't? It takes 2 seconds at most.
My nearest coworker over whose shoulder I sometimes peek for fun, never fails to surprise me by actions like using Copy from Menu bar -> Edit in the middle of typing, or by trying to find the previously focused window in the crowded task bar.
Sometimes she switches back and forth between mouse and keyboard even when all steps of a long sequence of commands could be done with either. It almost hurts to watch that and I have to force myself not to push her away from the computer and do it for her.
I hardly ever use the mouse. Maybe that's because I grew up with a VIC-20 while my coworkers learned computing much later through web browsing. Maybe they feel that the mouse is the correct tool, while the keyboard shortcuts are just workarounds.