problem with escalator of the department store
Source: 2007 Estonia Open Olympiad Junior p1/10
March 27, 2020
algebra
Problem Statement
The escalator of the department store, which at any given time can be seen at steps section, moves up one step in seconds. At time , 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?