Question

Suppose you have entered a 145-mile biathlon that consists of a run and a bicycle race. During your run, your average velocity is 10 miles per hour, and during your bicycle race, your average velocity is 21 miles per hour. You finish the race in 9 hours. What is the distance of the run? What is the distance of the bicycle race?

Answer 1

Run: 63 mi, Bike: 82 mi.

Explanation:

Let x be the distance of the run (in miles). The total distance covered in 9 hours is 145 miles. Therefore, we have the equation:

x / 10 + (145 - x) / 21 = 145 / 9

Solving for x:

x = 63 miles

So the distance of the run is 63 miles, and the distance of the bicycle race is 145 - 63 = 82 miles.