Yes, different colors of light do have different wavelengths, and they can travel at slightly different speeds through certain mediums. However, in vacuum or air (which is the medium through which light typically travels to reach our eyes), all colors of light travel at the same speed, known as the speed of light.
The speed of light in a vacuum is approximately 299,792 kilometers per second (or about 186,282 miles per second). This means that regardless of the color, light will travel at the same speed from its source to your eyes.
However, when light passes through a medium other than vacuum, such as water or glass, its speed can change, and this change is wavelength-dependent. This phenomenon is known as dispersion. In such cases, different colors of light can travel at slightly different speeds, resulting in a slight separation of colors.
For example, you might observe the dispersion of light when white light passes through a prism. The different wavelengths of light bend at slightly different angles as they pass through the prism, causing them to spread out and form a spectrum of colors.
In summary, while different colors of light can have different wavelengths, the time it takes for light to reach your eyes is generally the same for all colors, as long as it is traveling through a vacuum or air. In other mediums, the speed of light can vary slightly based on the color, resulting in dispersion effects.