Question
A hot air balloon is initially placed 26 feet above the ground and begins ascending at a constant rate of 5 feet per minute for t1 minutes. After reaching a certain height, the balloon then starts descending at a constant rate of 3 feet per minute for t2 minutes. If the hot air balloon reaches the ground after a total of 18 minutes in the air, what is the maximum height that the hot air balloon reaches, in feet?
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