Suppose you have entered 115-mile biathlon that consists of a run and a bicycle race. During your​ run, your average velocity is 9 miles per​ hour, and during your bicycle​ race, your average velocity is 22 miles per hour. You finish the race in 7 hours. What is the distance of the​ run? What is the distance of the bicycle​ race?

The distance of the run was 27 miles and the distance of the bicycle race was 88 miles.

Step-by-step explanation:

Since I have entered 115-mile biathlon that consists of a run and a bicycle race, and during my run, my average velocity is 9 miles per hour, and during my bicycle race, my average velocity is 22 miles per hour , and I finish the race in 7 hours, to determine what is the distance of the run and what is the distance of the bicycle race, the following calculations must be performed:

7 x 22 + 0 x 9 = 154

5 x 22 + 2 x 9 = 128

4 x 22 + 3 x 9 = 115

Therefore, the distance of the run was 27 miles and the distance of the bicycle race was 88 miles.