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 150 miles from the point and has a speed of 300 miles per hour. The other is 200 miles from the point and has a speed of 400 miles per hour. (a) At what rate is the distance between the planes changing? 1/2 x mph (b) How much time does the controller have to get one of the airplanes on a different flight path? ✓h

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.2: Evaluate And Graph Exponential Functions
Problem 10.33TI: Another researcher at the Center for Disease Control and Prevention, Lisa, is studying the growth of...
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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 150 miles from the point and has a speed of 300 miles per
hour. The other is 200 miles from the point and has a speed of 400 miles per hour.
(a) At what rate is the distance between the planes changing?
1/2
X mph (b) How much time does the controller have to get one of the airplanes on a different flight path?
h
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 150 miles from the point and has a speed of 300 miles per hour. The other is 200 miles from the point and has a speed of 400 miles per hour. (a) At what rate is the distance between the planes changing? 1/2 X mph (b) How much time does the controller have to get one of the airplanes on a different flight path? h
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