The AIME Triathlon
Source: 2013 AIME I Problem 1
March 15, 2013
AMCAIME2013AIME I#1algebra
Problem Statement
The AIME Triathlon consists of a half-mile swim, a -mile bicycle, and an eight-mile run. Tom swims, bicycles, and runs at constant rates. He runs five times as fast as he swims, and he bicycles twice as fast as he runs. Tom completes the AIME Triathlon in four and a quarter hours. How many minutes does he spend bicycling?