In a certain amount of time, a plane traveling at a constant $250$ miles per hour traveled $20,\!000$ feet.  In this same amount of time, how many feet would a plane traveling at a constant $400$ miles per hour travel?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
In a certain amount of time, a plane traveling at a constant $250$ miles per hour traveled $20,\!000$ feet.  In this same amount of time, how many feet would a plane traveling at a constant $400$ miles per hour travel?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
32,\!000
In a certain amount of time, a plane traveling at a constant $250$ miles per hour traveled $20,\!000$ feet.  In this same amount of time, how many feet would a plane traveling at a constant $400$ miles per hour travel?
train