I do not usually stand on a moving escalator and go through it.
I want to pass the maximum number of steps. Up or Down!
What is the speed (steps per second) should I go?
One symbolic and numeric solution I need (from my students too) 
PS
The largest escalator in the world is located in Moscow, at the metro station "Victory Park". Its length is 126 meters and height of 63.4 m.
Escalator speed - 45 meters per minute
The width of the steps of the escalator - 0.4 m
If I may, escalators are specially designed so that you don't walk them up or down !
Steps are intentionally awkwardly high to make it very unpleasant to walk. It is much higher than a standard stair step, which is an average comfortable height.
I am not sure why they do that, I think that every step you walk on an escalator might act as a load transient for the motors, which they don't really like.
So I guess escalator design engineers would be most grateful if you avoided walking up and down and just enjoyed the ride
