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.