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That depends upon what the 1000 Hz is, along with the medium through which the 1000 Hz is traveling. The speed of most waves is not dependent on frequency.

If that is 1000 Hz of electromagnetic radiation, then its speed (in a vacuum) is approx 3x108 m/s meaning in 1 second it travels approx 3x108 m or approx 186000 miles. It travels at this speed regardless of the frequency.

If it is sound in air at room temperature and atmospheric pressure, then its speed is approx 343 m/s so in 1 second it travels 343 m. Through solid objects, sound travels much faster.

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Q: How far does the frequency of 1000 Hz travel in one second?
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