Two trains 300 miles apart are heading toward each other on the same track. The first one travels at 100 miles per hour and the second at 50 miles per hour. As the trains depart, a jet-powered drone flying 200 miles per hour leaves the first train and heads for the second. Upon reaching it, the drone instantaneously turns around and heads back towards the first. The drone continues back and forth in this manner. How far in miles will the drone fly before being crushed between the two trains?