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220 hertz is faster, because the higher the frequency, the lower the wavelength. The wavelength directly correlates to the speed so therefore the object moving at 220 hertz is significantly faster.

Not quite. The question is not about moving objects but wave speeds.

The formula is velocity = frequency x wavelength, but for any given wave motion through a given medium, its velocity stays constant. Therefore the wavelength is inversely proportional to frequency alone.

So a 220Hz signal travels at the same speed as the 440Hz signal, in the same medium.

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