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The question does NOT ask if the belt can move fast enough to keep the plane stationary.
It just says that the belt moves backwards at the same speed as the plane moves forwards. I interpret speed as the movement of something relative to a stationary object, namely the ground.
So if the plane is MOVING (key word folks) forward at 100mph, the belt is moving backwards at 100 miles an hour. The wheels are spinning as if the plane where traveling at 200 miles per hour.
In this interpretation, the plane takes off.
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