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As the high-speed, red/blue train approaches a local station (gray) it does not prepare to stop.
Instead of braking to take the sharp curve, the express continues straight on, but detaches the two rear carriages (blue) which contain the passengers who mean to detrain.
Those self-propelled carriages are unhitched on the run. Released, they slow down to take the curve towards the station. Moreover, they separate from one another, even as, at the upcoming station, the green carriage that had been entraining departing passengers, pulls out and begins to roll down towards the express tracks.
Now, as the two blue shuttle carriages move at moderate speed, one to station a), the other to towards station b) some 20 - 50 miles further on, the express has rushed straight on and the carriage in green has moved onto the express tracks and is racing to catch up to the main body of the train.
The express slows down sufficiently to permit an on the run, computer controlled coupling with the green shuttle.* Then, as the now solidly united train returns to full throttle, the freshly entrained passengers move out of the green carriage and find seats in the body of the express. Simultaneously, the passengers who mean to detrain at the next station leave their seats in the express and make their way to the shuttle in the back. As the next local station nears the green carriage will un-hitch . . . . and so on.
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