Your answer depends on where in Chile you begin your journey, where in Antarctica you propose to end your journey, the size and speed of your watercraft.
Without endorsement, you can review commercial tours that are available from Chile by boat to Antarctica here: http://www.victory-cruises.com/ends_earth.html
Your answer depends on where in Antarctica you choose to dock, the speed of your boat and the route you choose.
Your answer depends on your ultimate destination in Antarctica, the route you choose and the speed of the boat.
Your answer depends on your starting point in Argentina, your ultimate destination in Antarctica, and the speed of your boat.
Depends on where you leave from.
Your answer depends on your ultimate Antarctic destination. You can fly commercially from UK to Australia, New Zealand, Chile, Argentina, even South Africa. Then you can hire a charter to fly you to Antarctica. Your total flight time depends on your route and the speed of your final charter. There are no commercial flights to anywhere on the Antarctic continent.
It matters whers where you live
You can book passage on a tour boat to travel there, or you can charter a private expedition from New Zealand, Australia, Chile or Argentina.
Your answer depends on the speed of your boat and directions you navigate between Hobart and wherever you plan to visit Antarctica.
It takes 4 days by boat and 2 by plane
I think the answer to the question is entirely dependant on knowing where the boat has sailed from....
3 weeks????
Your answer depends on your starting point.