The mayor ultimately decided not to pursue diagonal sidewalks, but the petitioners haven’t given up yet. She would like you to answer the following question: What fraction of the city hall employees would have a shorter walk home (that is, to the street intersection nearest to their home) if the city replaced its traditional sidewalks with these diagonal sidewalks?įrom David Lewis comes an additional, original twist on Riddler City’s urban planning: The mayor of Riddler City has tasked you with resolving this dispute in a mathematical manner. These proposed sidewalks are represented by the thicker blue lines in the diagram below: Instead, they want the sidewalks to cut diagonally across the city, connecting nearby street intersections. Recently, several city hall employees submitted a petition, requesting that the sidewalks should no longer lie alongside the streets. The sidewalks they walk along have always been adjacent to the streets - but that may be changing. Its many employees all walk to and from work, and their homes are evenly scattered across the city. At the very center of the city lies Riddler City Hall.
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