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The wavelength of waves travelling with the same speed would  decrease if the frequency of the waves increases. This is because,  speed of a wave is the product of the dista â¦ nce of the wavelength  times the frequency of the wave.
The medium is the same for both of these waves (the same container of nitrogen gas). Thus, the speed of the wave will be the same. Alterations in a property of a wave (such as wavelength) will not affect the speed of the wave. Two different waves travel with the same speed when present in the same medium.