Tony Stark wants to build a 100 meter high tower as quickly as possible. He has unlimited resources and an unlimited budget and is willing to spend any amount to get the job done.

He has chosen to build the tower with blocks that are 100 meters long and 100 meters wide, but only 1 meter tall. The blocks interlock on top and bottom (like legos). They cannot be stacked sideways.

Using special lifters, putting one stack on top of another stack takes one week regardless of how high the stacks are. What is the shortest amount of time that it will take to build the tower?

Your answer should be in weeks.

Before you answer the question for a 100 meter high tower, let's find the answer for a 5 meter high tower and a 10 meter high tower.

5 meter -

10 meter -

100 meter -

Question

Mathematics

Porter Wong

7 October, 17:56

Tony Stark wants to build a 100 meter high tower as quickly as possible. He has unlimited resources and an unlimited budget and is willing to spend any amount to get the job done.

He has chosen to build the tower with blocks that are 100 meters long and 100 meters wide, but only 1 meter tall. The blocks interlock on top and bottom (like legos). They cannot be stacked sideways.

Using special lifters, putting one stack on top of another stack takes one week regardless of how high the stacks are. What is the shortest amount of time that it will take to build the tower?

Your answer should be in weeks.

Before you answer the question for a 100 meter high tower, let's find the answer for a 5 meter high tower and a 10 meter high tower.

5 meter -

10 meter -

100 meter -

+5

Answers (1)

Know the Answer?

Liam Larson · Answer 1

1. What is the shortest amount of time that it would take to build a 100-meter Tower?

10 weeks

2. What is your algorithm for solving the problem? How did you solve the problem?

Powers (stacks) of two until reaching the required height.

3. How could you find out how many weeks it would take to build a tower n meters tall?

2^n