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 900 miles per hour. The other is 200 miles from the point and has a speed of 1200 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?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.5: Solve Applications Of Quadratic Equations
Problem 9.79TI: MaryAnne just returned from a visit with her grandchildren back east. The trip was 2400 miles from...
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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 900 miles per hour. The other is 200 miles from the point and has a speed of 1200 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?
h
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