What is the distance of the​ run? What is the distance of the bicycle​ race?

Question

Suppose you have entered a 98​-mile biathlon that consists of a run and a bicycle race. During your​ run, your average velocity is 5 miles per​ hour, and during your bicycle​ race, your average velocity is 22 miles per hour. You finish the race in 6 hours. What is the distance of the​ run? What is the distance of the bicycle​ race?

Answer 1

Let r = run and b = bike

r + b = 6

5r + 22b = 98

-5r-5b = -30

17b = 68

b = 4

r = 2

Distance biking = 4*22 = 88

Distance running = 2*5 = 10