Question: An air traffic controller spots two airplanes at the same altitude converging to point A as they fly at right angles to each other. One

An air traffic controller spots two airplanes at the same altitude converging to point A as they fly at right angles to each other. One airplane is 160 miles from point A and has a speed of 640 miles per hour. The other is 290 miles from point A and has a speed of 1160 miles per hour.

At what rate is the distance between the two planes changing? Think carefully about whether this rate should be positive or negative.

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