The speed at which a parachuter falls to the earth is slower than say, a ball of the same mass. (Although the same force is exerted in both) This is because wind drag.
For magnets, say, sitting on a table they must overcome some friction to move towards the other magnet. The smaller magnet will have less friction to overcome and thus will move first. The attraction is very fast but if you watch in slow motion, and the magnets aren’t too dissimilar in size, often as the small magnet gets closer the force of attraction will get high enough for the large magnet to move as well. They’ll meet at some intermediate point relatively close to the large magnet.
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