Hi Hawkes Nightmare,
Your concern would only make sense if the continents were in their current positions millions and billions of years ago and had somehow remained in that position until today despite moving at some number of centimeters per year. But the continents have been continually moving throughout time. For example, the current distance between Boston and London is 3,325 miles, but around 400 million years ago North America and Europe were a single land mass. Around 200 million years ago they began moving apart along the Atlantic's mid-oceanic ridge. They continue to move apart from each other at about 4 cm/year.
There are many continental drift animations on the web. Here's one from YouTube that's a bit unusual because it not only shows continental drift from about 400 million years in the past but also projects where the continents might drift for a few hundred million years into the future:
And here's a link to a page with an animation of the split of the Americans from Europe and Africa:
Caribbean VR
--Percy