Your answer depends on your tools, your digging location and the size of the team given the task.
Since Antarctica covers 10% of the earth's surface, one might ask: dig through Antarctica to where?
it would take around 6,949.50671266 kilometers to get there.
3 weeks????
By boat it would take about 2 weeks with a fairy boat.
The flight would be 21 hours long.
Your answer depends on your starting point and on your ultimate Antarctic destination.
Your answer depends on where you begin your journey. Your greatest challenge will be crossing the Southern Ocean, which surrounds Antarctica -- on foot.
Your answer depends on the route you take to your ultimate Antarctic destination and the speed of the boat.
It takes 30 hours to get to Australia, and Antarctica is slightly further away, so I would estimate the figure to be around 40 hours.
Your answer depends on where you want to go in Antarctica.
Unless you can walk on water, this trek is not possible. Your trek would take you across water from England to the south, and through Europe to the Bosphorus crossing into Africa. When you reach the tip of South Africa, there is nothing but open ocean to cross before reaching Antarctica.
Your answer depends on the speed of your boat and directions you navigate between Hobart and wherever you plan to visit Antarctica.
Your answer depends on the route you take, your ultimate Antarctic destination and the speed of your transit vehicle.