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An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 100 miles from the point and has a speed of 400 miles per hour. The other is 240 miles from the point and has a speed of 960 miles per hour. (a) At what rate is the distance between the planes changing?

An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 100 miles from the point and has a speed of 400 miles per hour. The other is 240 miles from the point and has a speed of 960 miles per hour. (a) At what rate is the distance between the planes changing?

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
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An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 100 miles from the point and has a speed of 400 miles per hour. The other is 240 miles from the point and has a speed of 960 miles per hour. (a) At what rate is the distance between the planes changing? mph (b) How much time does the controller have to get one of the airplanes on a different flight path? min
Transcribed Image Text:An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 100 miles from the point and has a speed of 400 miles per hour. The other is 240 miles from the point and has a speed of 960 miles per hour. (a) At what rate is the distance between the planes changing? mph (b) How much time does the controller have to get one of the airplanes on a different flight path? min
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