Difference between revisions of "2023 SSMO Team Round Problems/Problem 8"
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Latest revision as of 22:25, 15 December 2023
Problem
Three rabbits run away from the origin at the same speed and constant velocity such that the angle between any two rabbits' directions is . After seconds, a hunter with a speed times that of the rabbits runs from the origin. Let the minimal time in seconds needed for her to meet (and subsequently) catch all three rabbits be . Find .