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 milesfrom 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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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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 milesfrom 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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