Paradoxically, this skill only becomes really apparent when humans act in the role of hunters. As prey, it's more likely a sneaky tiger will spring forth from the jungle and run us down for dinner.
But yep, we can actually run other animals to death.
Humans are terrifying unbalanced creatures.
[1] http://en.wikipedia.org/wiki/Man_versus_Horse_Marathon#Winne... (might be anecdotic, but still somehow revealing)