IMO Shortlist 1968 problem 1
Dodao/la:
arhiva2. travnja 2012. Two ships sail on the sea with constant speeds and fixed directions. It is known that at
the distance between them was
miles; at
,
miles; and at
,
miles. At what moment were the ships the smallest distance from each other, and what was that distance ?
%V0
Two ships sail on the sea with constant speeds and fixed directions. It is known that at $9:00$ the distance between them was $20$ miles; at $9:35$, $15$ miles; and at $9:55$, $13$ miles. At what moment were the ships the smallest distance from each other, and what was that distance ?
Izvor: Međunarodna matematička olimpijada, shortlist 1968