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The ships have the smallest distantance - ISL 1968

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September 23, 2010
calculusminimum valueminimizationalgebrafunctionIMO Shortlist

Problem Statement

Two ships sail on the sea with constant speeds and fixed directions. It is known that at 9:009:00 the distance between them was 2020 miles; at 9:359:35, 1515 miles; and at 9:559:55, 1313 miles. At what moment were the ships the smallest distance from each other, and what was that distance ?