A lighthouse keeper decides to take a bath an hour before the next lighthouse keeper comes to relieve him of his shift.
This lighthouse keeper is having a bad day. First he accidentally locks himself in the bathroom, so he's not going to be able to get out until the next lighthouse keeper arrives and is able to unlock the bathroom from the outside.
He decides this isn't going to put him off having his bath, and so starts running the bath. Then the bath faucet's knob breaks off! He's unable to turn the bath water off. The walls and door of the bathroom are completely water tight. At this rate, the bathroom is going to be completely full after 55 minutes.
How does our lighthouse keeper avoid drowning?
I see 4 options:
If there is some container (bath wash, pan), he upends it and use the air inside once the bath is full.
If "at this rate" means the current speed (litters per second), then he have more time, since when water surface will go up the water pressure will increase and compensate pressure in the bath faucet knob, therefore the speed will decrease with time, which can easily give him additional 5 minutes.
If he has clothes or towel inside he can use it to plug the faucet hole, this will decrease the speed.
If he has phone he can call someone to help.
P.S. If the water pressure is big enough there is no way to escape: he even can be smashed by it ones the bathroom is full.