A small plane leaves a coastal city at uniform speed flying into a head- wind to an island-airport 568 km away and takes 3hrs 15min. On the return trip from the island, with the same wind as tail wind, the plane takes 1hr 45min. Determine the speed of the plane in still air and the speed of the wind.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.3: Modeling With Linear Equations
Problem 5ECP: A boat travels at a constant speed to an island 14 miles away. It takes 0.5 hour to travel the first...
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A small plane leaves a coastal city at uniform speed flying into a head-
wind to an island-airport 568 km away and takes 3hrs 15min. On the
return trip from the island, with the same wind as tail wind, the plane
takes 1hr 45min. Determine the speed of the plane in still air and the
speed of the wind.

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