Well, 48 hours would at least give you time to bake an apple pie to send with the crew of Atlantis. Then at least we'd have "pie in the sky"...
along with nine dead astronauts and two lost shuttles.
Day 4 - Atlantis begins to be prepped for an emergency launch
Day 11 Atlantis is sent up
Day 12 Atlantis docks near Columbia and initiates the plan
And this is hard to spell out for you why exactly?