Two trains are traveling toward each other on the same track. Train A is traveling at 80 miles per hour, and Train B is traveling at 60 miles per hour. They are initially 200 miles apart. A bird starts flying from Train A towards Train B at a speed of 100 miles per hour. When the bird reaches Train B, it immediately turns around and flies back towards Train A, and so on. What is the total distance the bird travels before the trains collide?