3. A rectangular room has dimensions 12x12x24. That is, the floor and ceiling and both the side walls are 12x24 and the two end walls a 12x12. In the room there are two ants, a male and a female. The mal ant is on the floor at one of the corners. Now the female has positioned herself to be as far as possible from th male. That is, she has located herself at a point so that the male will take the longest possible time to get to her, given that he has to crawl along the walls, floor or ceiling of the room and will (of course) choose his path so that he gets to the female in the shortest possible time. The question is: where is the female?
3. A rectangular room has dimensions 12x12x24. That is, the floor and ceiling and both the side walls are 12x24 and the two end walls a 12x12. In the room there are two ants, a male and a female. The mal ant is on the floor at one of the corners. Now the female has positioned herself to be as far as possible from th male. That is, she has located herself at a point so that the male will take the longest possible time to get to her, given that he has to crawl along the walls, floor or ceiling of the room and will (of course) choose his path so that he gets to the female in the shortest possible time. The question is: where is the female?
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.3: Distance And Slope
Problem 69PS
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