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 ?
(b) How much time does the controller have to get one of the airplanes on a different flight
path?

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