How long does a hydrogen bond last in water

If you are asking about the water molecules themselves (and not some other materials present such as the paleochemical structure above) the answer is that at least for liquid water, each water molecule exchanges its hydrogen atoms with other water molecules at an extremely rapid pace (millions of times per second). While frozen (a mile deep in Antarctica or Greenland?) for millions of years, this exchange process would be slower, but still I would venture that the water molecules individually are not the same ones they were way back when. Depending on how it was handled after the ice was mined from its glacier, the sample may still be collectively composed of the same atoms that were there millions of years ago.

what is the average time it took the car to travel 0.25 meters?

⇒ 2.23 seconds

what is the average time it took the car to travel 0.50 meters?

⇒ 3.13 seconds