Answer:
Both waves travel at same speed in vacuum.
Step-by-step explanation:
Infrared waves and ultraviolet waves both have different wavelengths.
Energy is dependent upon wavelength:

where,
E = Energy
h = Plank's Constant
c = speed of light
λ = wavelength
Hence different wavelength means different energies.
The frequency is dependent upon the wavelength through the formula:
v = fλ
where,
v = speed of the wave
f = frequency of the wave
λ = wavelength
Hence, different wavelength requires different frequency, while the speed remains same, which is equal to the speed of light for electromagnetic radiations.
Therefore, the correct option is:
Both waves travel at same speed in vacuum.