2023 AMC 10A Problems/Problem 1
Cities and
are
miles apart. Alicia lives in
and Beth lives in
. Alicia bikes towards
at 18 miles per hour. Leaving at the same time, Beth bikes toward
at 12 miles per hour. How many miles from City
will they be when they meet?
Solution
This is a Distance=TimeSpeed so let
be the time it takes to meet. We can write the following equation:
Solving gives is
. The
is Alicia so
~zhenghua