MathDB
Sea-sailing ships

Source: Czech and Slovak Olympiad 1970, National Round, Problem 4

July 4, 2024

Problem Statement

Two ships sailed at constant speeds on constant courses at see (its surface is considered to be flat). Their mutual distance was 20 nautical miles at 9:00 a.m., 15 miles at 9:35 a.m. and 13 miles at 9:55 a.m. a) Determine the square of their distance as a function of time. b) Find out when the ships were closest to each other and what was the distance.