2023 AMC 8 Problems/Problem 13
Animated Video Solution
~Star League (https://starleague.us)
Written Solution
Knowing that there are equally spaced water stations they are each located
,
,…
of the way from the start. Using the same logic for the
station we have
and
for the repair stations. It is given that the 3rd water is
miles ahead of the
st repair station. So setting an equation we have
getting common denominators
so then we have
from this.
~apex304, SohumUttamchandani, wuwang2002, TaeKim, Cxrupptedpat