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Red light and blue light travel the same speed in a vacuum, however they travel different speeds when traveling through any medium other than a vacuum.

In most media, blue light has a higher index of refraction (usually denoted with the letter n) than red light. The higher the index of refraction, the slower the light goes compared to its speed in a vacuum. This relationship is governed by the following equation: v = c/n where v is the speed of light in a particular medium, n is the index of refraction of light in that medium and c is the speed of light in a vacuum. Since red has a smaller n than blue in most media, red travels faster then blue in most media.

The index of refraction is determined by solving Maxwell's equations for a particular frequency and a particular medium.

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