CHMMC 2022 Winter / 2022-23 Team #1
Source:
August 10, 2023
algebra
Problem Statement
A wall contains three switches , each of which powers a light when flipped on. Every seconds, switch is turned on and then immediately turned off again. The same occurs for switch every seconds and switch every seconds. At time , all three switches are simultaneously on. Let be the earliest time that all three switches are once again simultaneously on. Compute the number of times before when at least two switches are simultaneously on.