It is not all Slumdog Millionaire you know. All countries have problems that they can't cope with. In the face of Katrina what happened for e.g. in the US was clear for the world to see.
Again, these are parallel lines of progress. Spending on a space mission does NOT affect other public expenditures in this country. Neither does resolving ALL public problems make us more or less morally qualified (I still don't understand the objection) to launch a rover to Mars.