Two trains, each having a speed of 27 km/h, are headed at each other on the same straight track. A bird that can fly 54 km/h flies off the front of one train when they are 54 km apart and heads directly for the other train. On reaching the other train it flies directly back to the first train, and so forth. (We have no idea why a bird would behave in this way.) What is the total distance the bird travels before the trains collide?