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Putnam 1959 A5

  • Session A

A sparrow, flying horizontally in a straight line, is 5050 feet directly below an eagle and 100100 feet directly above a hawk. Both hawk and eagle fly directly toward the sparrow, reaching it simultaneously. The hawk flies twice as fast as the sparrow. How far does each bird fly? At what rate does the eagle fly?

Dataset text AI-MO AoPS. Quoted with source.

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