Find a relationship between the Hubble constant expressed in

Find a relationship between the Hubble constant, expressed in km/s/Mpc, and the Hubble lime, expressed in years. Use this to find the Hubble time (t_o = 1/H_o) corresponding to Hubble constant values of 50, 75, 100 and 200 km/sMpc.

Solution

Hubble Constant, 1 Ho = 1 km/s/Mpc
1 Ho = 1 km/s/3*10^19 km = 0.33 * 10 ^ -19 s^-1
Hubble Time (Ho in km/s/Mpc) = 1 / Ho = 3 * 10^19 s
H T (50) = 6 * 10 ^ 17 s
H T (75) = 4 * 10 ^ 17 s
H T (100) = 3 * 10 ^ 17 s
H T (200) = 1.5 * 10 ^ 7 s