Airplanes Encounter

Geometry Level pending

Three airplanes take off simultaneously from 3 bases located in the vertexes of an equilateral triangle of 700 nautical miles side. Determine the directions and flying time (hours) to the place of encounter, considering that plane A speed is Va = 200 knots, Vb = 400 knots and Vc = 600 knots, being A, B and C the vertexes of the triangle and so the departing bases of the planes. The airplanes should arrive to the place of encounter at the same flying time.


The answer is 1.322105.

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