what is the ratio of speed of infra-red rays and ultra-violet rays in vacuum?
Same as that of light.. 3*108 m/s.
All the electromagnetic waves travel in vacuum with this very speed and both, infra-red and UV rays will travel with the same speed of 3*108 m/s.
Just keep in mind that light is an electromagnetic wave and that all the electromagnetic waves travel in the vacuum with same speed. So, all other EM waves should also travel in vacuum with the speed of light..
Hope this helpls!