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An air traffic controller spots two airplanes at the same altitude converging to a point...

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Basic Math

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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 90 miles from the point and has a speed of 270 miles per hour. The other is 120 miles from the point and has a speedof 360 miles per hour.Exercise (a)At what rate is the distance between the planes changing?Exercise (b)How much time does the controller have to get one of the airplanes on a different flight path?Step 1In part (a), it was found that the two planes were 150 miles apart and getting closer at the rate of 450 mph.Use the formula Time = Distance/Speed to find the time that the air traffic controller has to get one of the planes on a different flight path.

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