In the Twenty-Second Century,a Hyperfast New York to Los Angeles $\mu$

Multiple Choice

In the twenty-second century,a hyperfast New York to Los Angeles train roars through St.Louis without stopping at a speed of 0.80c.The front of the train arrives at the St.Louis station at precisely 12:00 noon according to all the clocks on the train (which are all synchronized in the train's frame) ,and the passengers are called to lunch in the dining car.An observer on the station platform manages to catch a glimpse of a clock at the front of the train that reads exactly 12:00 noon.What is the time at this instant at the rear of the train,according to the observer on the platform,if the train is 500 m long in its rest frame?

A) 1.35 $\mu$ s past noon
B) 1.35 $\mu$ s before noon
C) noon exactly
D) 1.35 ms past noon
E) 1.35 ms before noon