First, let's define the units of the Hubble's constant. It is kilometers per second per million light year. Light year is the length of time for the light to travel. Hence, we can use the light year to find the distance travelled by using the speed of light which is equal to 300,000,000 m/s or 300,000 km/s. 1 million light year is equal to 1.314 x 10^12 seconds.
d = s/t = 300,000 km/s ÷ 1.314 x 10^12 s = 3.942 x 10^17 km
Through dimensional analysis:
(3.942 x 10^17 km / 1 MLY) * (1/30km/s/MLY) = 1.314x 10^16 seconds = 10 billion years
