Does the pulse of the neck or wrist beat at the same time as the heart?

I just checked :) and it seems that my neck pulse comes slightly before my arm pulse. In my mind at least, that makes sense for two reasons physically. The arteries in the wrist are farther from the heart than the neck and they are much smaller in the wrist.

It also makes sense from a design perspective. It would only be fair that your brain gets the blood flow before the hand.