For running...?
Africans invented running water. Ancient Egyptians were the inventors.
Running is invented because a Two Thousand old man run when he was old...
NZ
Greece
1500
The Romans.
Never
Technically, it wasn't invented. Running has been around ever since people. There really is no better reason to say that cross country was invented as distance running competition.
No one invented running water, it is a natural phenomenon.
1972
1880