The show in question is called Super Jockey, a late night Japanese variety show.
The one segment (as seen in the video) involves what is normally a female celebrity who has a product they want to pitch to the TV audience (like a new CD or photobook or new DVD or whatever). At one point they have to change behind a temporary screen from street clothes into a swim suit in 60 seconds. If they fail to do so, the screen drops away leaving them to cover up. If they fail to do so in the time alloted, they're given a towel to cover up with like the girl in the clip
They then have to jump into a tub full of really hot water. Every second they stay in the tub is a second they're allowed to pitch their product afterwards.
Unfortunately, a lot of the episodes happen without anything as exciting as seen in that clip.
