Two trains, 200 miles apart, are heading towards each other. Both trains are going at a speed of 100 miles per hour. A little bee starts flying from one train towards the other. The bee is flying at an amazing speed of 150 miles per hour! When the bee reaches the other train, it turns around and flies back to the first train. It keeps going back and forth between the two trains until they crash into each other! Thankfully, the people on the trains and the little bee are unharmed.
In total, how far did the little bee fly between the two trains before they crashed?