MathDB

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Part of 2007 Estonia Math Open Junior Contests

Problems(1)

problem with escalator of the department store

Source: 2007 Estonia Open Olympiad Junior p1/10

3/27/2020
The escalator of the department store, which at any given time can be seen at 7575 steps section, moves up one step in 22 seconds. At time 00, Juku is standing on an escalator step equidistant from each end, facing the direction of travel. He goes by a certain rule: one step forward, two steps back, then again one step forward, two back, etc., taking one every second in increments of one step. Which end will Juku finally get out and at what point will it happen?
algebra