Two trains riding 200 km away from each other, are getting closer at the speed of 50 km/hour each of them. A ladybug starts from one train and flies straight toward the other train achieving 75 km/hour. When it reaches the second train, it bounces off it and immediately goes back to the first train. Then ladybug does the trip again and again until the trains crash and the poor bug is smashed.
How far has it traveled before it died?