2021 LMT Spring Division A Problem 14
Source:
October 22, 2021
Problem Statement
Alex, Bob, and Chris are driving cars down a road at distinct constant rates. All people are driving a positive integer number of miles per hour. All of their cars are feet long. It takes Alex second longer to completely pass Chris than it takes Bob to completely pass Chris. The passing time is defined as the time where their cars overlap. Find the smallest possible sum of their speeds, in miles per hour.Proposed by Sammy Charney