Read the scripture - only two of each kind was brought (by God) to the boat.
And you think that makes it doable? Did they just walk on in a cute little parade like the cartoons we've seen?
GEN 7:1 - Then the LORD said to Noah, "Go into the ark, you and all your household, for I have seen that you are righteous before me in this generation.
2: Take with you seven pairs of all clean animals, the male and his mate; and a pair of the animals that are not clean, the male and his mate;
3: and seven pairs of the birds of the air also, male and female, to keep their kind alive upon the face of all the earth.
4: For in seven days I will send rain upon the earth forty days and forty nights; and every living thing that I have made I will blot out from the face of the ground."
5: And Noah did all that the LORD had commanded him.
That's from the Revised Standard Version, if you need a reference.
I do not see a conflict with my faith in believing that the flood story may have been based only on a local flood. All that the people of the time knew and understood was the small area of land which they inhabited.