How did all the animals get to the countries they are known to be from after they came off the Ark?

Why heck, they rode Jet-Skis! 

not sure, but thats a good question since they dont drive

I was reading that the earth was once one entire land mass and then split apart to create the lands we know today. If you look at the map, the lands do fit together like pieces of a puzzle. If true, perhaps that's how the animals dispersed after the Ark - before the lands split apart.

As in many things religious, its a mystery.

Exactly. hahahahahahah

They used the earths magnetic field, phases of the moon or stopped at a convenience store and asked for directions.

I'm pretty sure that that whole story took place in another dimension.  This physical level is not the only level.  There were visionaries that were a lot more connected to other spheres and realms than we "denser" minds are aware of.

How did all the animals get to the countries they are known to be from after they came off the Ark?

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That comes from the OT claim that Noah gathered a pair from all the animals of the planet. How he did that, it doesn’t say. The NT is totally silent about it, but the FT [Final Testament aka the HQ or Holy Qur’an] says that it was a local flood in which only those perished who did not believe the warnings of Noah. So no mystery about how all those animals got to the ark in the first place or got back to their respective places from the ark afterwards. QED

How did all the animals get to the countries they are known to be from? I would imagine that they walked, ran, crawled, swam, flew, and were carried to get where they are.

Genesis 8:16=17  "Go out of the ark, you and your wife and your sons and your sons’ wives with you. 17 Bring out with you every living thing of all flesh that is with you, birds and animals and every creeping thing that creeps on the earth, that they may breed abundantly on the earth, and be fruitful and multiply on the earth.”