Different frequencies of sound waves all travel at the same speed in a given medium. The speed of sound is determined by the properties of the medium through which it travels, such as its density and elasticity, rather than the frequency of the sound waves.
In general, sound travels faster in denser and more elastic mediums. For example, sound travels faster in solids, such as metals, than in liquids, and faster in liquids than in gases. In dry air at sea level and at a temperature of about 20 degrees Celsius (68 degrees Fahrenheit), sound travels at approximately 343 meters per second (or about 1,125 feet per second).
Although different frequencies do not affect the speed of sound, they can impact other characteristics of sound waves, such as their wavelength, pitch, and perception by the human ear. Higher frequencies correspond to shorter wavelengths and are perceived as higher-pitched sounds, while lower frequencies have longer wavelengths and are perceived as lower-pitched sounds.