2018 AIME II Problems/Problem 1
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
.
2018 AIME II (Problems • Answer Key • Resources) | ||
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