CONTESTS

PROBLEMS

ARTICLES

REGISTER

ABOUT

CONTACT
Powered by Comap
 

Problem Title: Skyscrapers

     
  Year: 2002      
  Student Level: High School      
  Source: HIMCM      
  Commentary: Yes (1)      
  Student Papers: Yes (1)      
     
  Problem  
 

Skyscrapers vary in height , size (square footage), occupancy rates, and usage. They adorn the skyline of our major cities. But as we have seen several times in history, the height of the building might preclude escape during a catastrophe either human or natural (earthquake, tornado, hurricane, etc). Let's consider the following scenario. A building (a skyscraper) needs to be evacuated. Power has been lost so the elevator banks are inoperative except for use by firefighters and rescue personnel with special keys.

Build a mathematical model to clear the building within X minutes. Use this mathematical model to state the height of the building, maximum occupation, and type of evacuation methods used. Solve your model for X = 15 minutes, 30 minutes, and 60 minutes.

 
         
  Commentary      
 

Consortium Article

     
         
  Student Papers      
 

Consortium Article