Finding the units of measure of the slope in this regression problem

Question

I am not sure if I am doing this problem correctly. I have to use simple linear regression to either prove or disprove the Big Bang Theory (Y = TX), using the data, I fit a regression line without an intercept term and found a 95% confidence interval of (.00152641, .002131719) for the slope. For the model, I let x = recession velocity (km/sec) and y = distance between earth and some nebula (in megaparsecs). The question is asking me what the units of measure are on B1, and I am having trouble on figuring out how to convert these numbers into years to determine what the age of the universe is.