Solve the following problems given below:
Problem I: A Type Ia supernova explodes in a galaxy at a distance of 6.10 × 107 light-years. If astronomers detect the light from the supernova today, how long ago did the supernova explode?
Problem II: Given a Hubble constant of 67.7 (km/s)/Mpc, how fast is this galaxy moving away from Earth?
Problem III: What is this galaxy's red shift?
I need expert help to solve the above question.