Friday’s Quiz

Okay, the boss was a little slow today:

You have two trains that are one hundred and fifty miles apart on the
same track hurtling toward each other at a speed of 75mph (each one
is traveling at 75mph). On the nose of the first train is a bee. Now,
this is a very, very fast bee (he can fly at 137.5 mph). So, he takes off
flying from the first train heading toward the second. When he
reaches the second, he turns around and comes back. He keeps this
up as the trains get closer and closer until, finally, he is squashed
between the noses of the two trains.

At the instant the bee gets squashed, how far has he flown?