The water that came from your faucet could contain molecules that neanderthals drank.

I seen this question before. The answer to this is True.

The reason it's true is because water evaporate and then it rains again . comes  through the ground and into the wells or water systems and then its purified. 

Hope this helped :)
Have a great day 

Exploration mission 2;

When the indian plate collided with eurasian plate because it was cool