Why are we treating the bath mat like a thing that stays wet forever if it gets too wet? If two people shower in quick succession, and the second person finds the bath mat too wet, just have two bath mats.

This doesn’t work if your “bath mat” is one of those shag carpets like in the picture. Go to the store and get two of those bath mats that are like small thick towels. Then refer to Melissa’s comment on hanging the bath mat up to dry when you’re done with it.