What sequence of ocean currents was responsible for the movement of these boats?

The movement of the boats was primarily influenced by the ocean currents of the Atlantic Ocean, specifically the North Atlantic Drift and the Gulf Stream. These currents flow from the Gulf of Mexico along the eastern coast of the United States and across the Atlantic towards Europe, generating a warm, swift current that facilitates navigation. Additionally, local currents and wind patterns would have played a role in guiding the boats along their intended routes.