MathDB
BMT 2021 Guts Round p2

Source:

October 7, 2022
algebra

Problem Statement

The battery life on a computer decreases at a rate proportional to the display brightness. Austin starts off his day with both his battery life and brightness at 100%100\%. Whenever his battery life (expressed as a percentage) reaches a multiple of 2525, he also decreases the brightness of his display to that multiple of 2525. If left at 100%100\% brightness, the computer runs out of battery in 11 hour. Compute the amount of time, in minutes, it takes for Austin’s computer to reach 0%0\% battery using his modified scheme.