2 turtles are crawling from point A to B (2019 Novosibirsk Oral Geo Oly 7.6)
Source:
April 26, 2021
geometrygeometric inequality
Problem Statement
Two turtles, the leader and the slave, are crawling along the plane from point to point . They crawl in turn: first the leader crawls some distance, then the slave crawls some distance in a straight line towards the leading one. Then the leader crawls somewhere again, after which the slave crawls towards the leader, etc. Finally, they both crawl to . Prove that the slave turtle crawled no more than the leading one.