My mother had water flood her first floor apartment just last weekend. We had to take her our wet/dry vacuum to soak up the mess. Her carpet was taken outside and air dried. We had to lay it out over the line for a few days so it would not stink.
The floor in her apartment got worse damage than the carpet. The water soaked under the tiles and is lifting some of them up. linoleum in the bathroom had suffered water leakage from before she moved in and their is now mildew damage.
In your case, you may want to check the floor itself and along the wall and crevices too. closets and such as well. She found water on the floor of her closet but there was no water trail leading into it. The water made its way into there through the adjacent wall.