FYKOS Year 30 Series 4 Problem 1 — princess Point on point · FYKOS 30 #30.4.1
Physics · mechanics
Problem
It is not easy for story characters if they want to know when they appear on screen. Fortunately, today's technology makes it easier, take for example princess Point from a story with six chapters. All chapters have the same length with the height of every chapter on Karel's display being 1200 pixels (but the display itself can only show 900 pixels at any one time). When reading Karel scrolls continuously and reads with constant speed. After three minutes of reading, Point passed the first end of the slider in the scrollbar and after seven minutes she passed the other end. Which chapter does Point appear in? Note: The ratio of the height of the slider and the height of the display is the same as the ratio of the height of the display to the height of the entire story.