These definitions from dictionary.reference.com seem relevant:
drive
–verb (used with object)
2. to cause and guide the movement of (a vehicle, an animal, etc.): to drive a car; to drive a mule.
3. to convey in a vehicle: She drove them to the station.
–verb (used without object)
14. to cause and guide the movement of a vehicle or animal, esp. to operate an automobile.
15. to go or travel in a driven vehicle: He drives to work with me.
ride
–verb (used without object)
1. to sit on and manage a horse or other animal in motion; be carried on the back of an animal.
2. to be borne along on or in a vehicle or other kind of conveyance.
–verb (used with object)
14. to sit on and manage (a horse, bicycle, etc.) so as to be carried along.
15. to sit or move along on (something); be carried or borne along on: The ship rode the waves. We ride a bus.
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