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

Elementary Algebra
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ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
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Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 506E: The volume of a gas in a container varies inversely as the pressure on the gas. If a container 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 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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