If it wasn't a deep rip, buffing may have helped but I can't imagine a rip holding until December 7!! Perhaps you should go out and buy some nail glue in the next few days.

Also, keep your hands out of water as much as possible. I have very soft nails and try to wear rubber gloves when washing dishes - my downfall on keeping my nails long especially since I seem to be washing dishes ALL day long!

Good luck!