Problema Solution
Suppose that you have entered a 62 mile biathlon that consists of a run and a bicycle race. During your run, your average velocity is 8 miles per hour, and during your bicycle race, your average velocity is 20 miles per hour. You finish the race in 4 hours. What is the distance of the run? What is the distance of the bicycle race?
Answer provided by our tutors
let
d1 = the distance of the run
d2 = the distance of the bicycle race
d1 + d2 = 62
since speed = distance/time => time = distance/speed
d1/8 + d2/20 = 4
by solving the system of equations
d1 + d2 = 62
d1/8 + d2/20 = 4
we find
d1 = 12 mi
d2 = 50 mi
click here to see the step by step solution of the system of equations
the distance of the run is 12 miles.
the distance of the bicycle race is 50 miles.