If both a camera body and lens have motorized autofocus, would one be used over the other or would both work in tandem to speed the focus process along?
There are two cases to consider, assuming a built-in focus motor in the lens:
The lens does not have a mechanical link for the in-camera focus motor: In this case, the camera motor cannot focus the lens at all. This is the case for the vast majority of lenses.
The lens has a mechanical link for the in-camera focus motor: In theory any one motor could do the job but camera makers assume the in-lens motor to be better, so they use the lens' motor. It has been requested to have a camera setting added to change this in case of a failure of the in-lens motor but no camera provides this yet AFAIK.