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Alice the Ant Scales the Burj Khalifa

Alice the ant is climbing to the top of the tallest man-made structure in the world...the Burj Khalifa, a Dubai skyscraper that is 2,722 feet in height.

Alice is 7 mm's in length, and on each of her steps, she moves 1.5 mm.

Question 1: How many steps will Alice take in climbing from the base of the Burj Khalifa to its top?

Question 2: If Alice can take 5 steps in a second, how long will it take Alice to reach the top? (Pick an understandable time unit when expressing your answer)

Question 3: If Alice enticed her fellow ants to join her in a single line end-to-end, how many ants would it take to span the entire length of the Burj Khalifa?

Question 4: To answer Question #3, did you start from scratch or use a proportion involving your answer from Question #1?

 

Source: Adaptaion of a problem found on a "Resource Transparency" for a textbook (not identified)


Hint: How many steps will Alice take in moving 1 foot?

Remember to convert...millimeter vs. feet.

 


Solution Commentary: Question 1: A great many!

Question 2: A long time!

Question 3: A great many!...butI wonder how they can arrange themselves into a styraight line...as a deviance of even 1 degree will have a large impact!