The speed of a wave is determined by the properties of the medium through which it is traveling, rather than its frequency. In a given medium, such as air or water, all waves of the same type (e.g., sound waves or water waves) generally travel at the same speed, regardless of their frequency.
For example, in a vacuum, electromagnetic waves (including light) all travel at the speed of light, denoted as 'c,' which is approximately 299,792,458 meters per second. In other transparent media, such as air or water, light travels at slightly slower speeds, but the speed remains constant regardless of the frequency of the light.
The confusion might arise from the concept of wavelength, which is inversely proportional to frequency. Higher frequency waves have shorter wavelengths, while lower frequency waves have longer wavelengths. However, this does not affect the speed of the waves themselves.
So, to summarize, the speed of a wave is not dependent on its frequency; rather, it depends on the properties of the medium through which it propagates.