Difference between revisions of "2018 AIME II Problems/Problem 1"
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Revision as of 23:13, 23 March 2018
Problem
Points 
, 
, and 
lie in that order along a straight path where the distance from to is 
meters. Ina runs twice as fast as Eve, and Paul runs twice as fast as Ina. The three runners start running at the same time with Ina starting at and running toward , Paul starting at and running toward , and Eve starting at and running toward . When Paul meets Eve, he turns around and runs toward . Paul and Ina both arrive at at the same time. Find the number of meters from to .
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