MathDB
2012 BMT Team 7

Source:

January 5, 2022
algebra

Problem Statement

Suppose Bob begins walking at a constant speed from point NN to point SS along the path indicated by the following figure. https://cdn.artofproblemsolving.com/attachments/6/2/f5819267020f2bd38e52c6e873a2cf91ce8c49.png After Bob has walked a distance of xx, Alice begins walking at point NN, heading towards point SS along the same path. Alice walks 1.281.28 times as fast as Bob when they are on the same line segment and 1.061.06 times as fast as Bob otherwise. For what value of xx do Alice and Bob meet at point SS?
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