Reflection and refraction are the phenomena of light when a ray of light is incident upon the surface separating two mediums. reflection takes place in the same medium through which the ray is incident whereas refraction takes in another medium. The speed of light depends upon the medium. That is, the speed of light depends upon the refractive index of the medium and mathematically given as,
n=cv
where n = refractive index
c = speed of light
v = speed of light in that medium.
So, as the reflection takes place in the same medium, therefore, there is no any change in the speed of light but refraction takes place in another medium, therefore, the speed of light changes its path and hence get bend while entering into another medium. For example, when we see a stick dipped partly into a glass of water we observe that stick is bent at the surface of the water.