Design principle for neighborhoods and airports

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A commuter exits her neighborhood by driving y miles at r1 mph, then turning onto a central road to drive x miles at r2 mph. Assume that the neighborhood has a xed size, so that xy = c for some number c.

(a.) Find x and y to minimize the time spent driving.

(b.) Show that equal time is spent driving at r1 mph and at r2 mph. This is a design principle for neighborhoods and airports. (See Bejan's Constructal Theory of Social Dynamics.)

Reference no: EM132059676

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