Problema Solution
gary competes in a triathlon where he swims 1.5 km, cycles 40 km, and runs 10 km. his average cycling speed is 8 times his average swimming speed. His average running speed is 4 times his average swimming speed. He takes .75 minutes to transition from swimming to cycling and .25 minute to transition from biking to running. He finishes the triathlon in 2 hours, 25 minutes. What is his average swimming speed.
Answer provided by our tutors
let
v = the average swimming speed
His average cycling speed is 8 times his average swimming speed: 8v
His average running speed is 4 times his average swimming speed: 4v
since time = distance/speed we have:
1.5/v + 0.75 + 40/(8v) + 0.25 + 10/(4v) = 2 + 25/60
by solving we find:
v = 6.35 mph
click here to see the step by step solution of the equation:
his average swimming speed was 6.35 mph.