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Solve a puzzle involving two planes taking off from the same airport, flying at different speeds and altitudes, to determine the time it took for the second plane to catch up to the first.
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A plane takes off from an airport and flies east at a speed of 350 mph. Ten minutes later, a second plane takes off from the same airport and flies east at a higher altitude at a speed of 400 mph. How long was the second plane in the air when it was directly above the first plane?