In the training level, go to Lara's library. Across from the fireplace there are bookshelves. The second shelf has a book sticking out. Pull it, then the fire will go out. Climb up the chiminy and walk down the corador into a room. Climb up onto the ledge and pull the switch. Run back to the chiminy and jump down(Beware, the fire will be on again!). Run down the stairs and into the open door. This is her basement. Climb into the water tank and swim to the bottom. There you'll find the race key! Happy hunting!