Using about six gates, they can fill Yankee Stadium with over 52,000 fans in a couple of hours.
Noah had one gate so multiply that by six and it would take about 12 hours.
But Noah didn't have 52000 animals, but only around 16,000.
So it would be less.
Additionally, Noah's gate was probably about 10 feet wide, so small creatures like lizards, squirrels, ducks, mice, etc. could enter eight and ten at a time.
Loading was hardly going to be a problem.