Ancient humans would casually jog at animals until they could no longer run away. Cheetahs can only run about 600 meters before they are forced to stop and rest. The shortest marathons are 42km. So yes, an average person on the street could almost certainly chase down a cheetah.

He said race, not chase. Can't keep up that 70mph for too long

Depends who's chasing who.

.. that's what the cheetahs said