What do you call "human race"?
Officially H. habilis - 2.4 million years ago - is considered the earliest human species.
IMHO, habilis is too Australopithecus looking for me (short, lean, hairy...).
I would have rather chosen Homo ergaster - 2.1 mya. - a tall savanna runner. But it's just me
Or our Homo sapiens species?
Homo sapiens evolved gradually from a mix of African populations of archaic humans between 300,000 and 120,000 years ago.
The oldest are a patchwork of various ancestral origins.
- 300,000 years Djebel Irhoud (Morocco) fossils show several traits we consider "modern", and other, said "archaic" because disappeared in more recent populations.
- 120,000 years Qafzeh and Skhul (Israel) are very similar to us.
- Scholars arbitrarily set to 200,000 the age of Homo sapiens, after the 195,000 almost modern Omo 1 (Ethiopia) fossil.
So, your answer would often be 200,000.
Note this is arbitrary, and depending on authors, it could be either 120,000 or 300,000, or even earlier after some modern teeth pattern found on an older jaw.
Evolution doesn't happen overnight, so drawing the line is arbitrary.