MathDB
Putnam 1959 A5

Source: Putnam 1959

June 15, 2022
Putnammotion

Problem Statement

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?