Final answer:
To determine the total length of the race, a proportion is set up with 85% of the length equal to 24 miles. Solving the equation, the total length of the race is found to be approximately 28.24 miles.
Step-by-step explanation:
Piotr has run the first 24 miles of the race, which means he has completed 85% of the total distance. To find the total length of the race, we can set up a proportion where 85% (or 0.85 when converted to a decimal) of the total length (L) is equal to 24 miles.
The equation would look like this:
0.85 * L = 24 miles
To find L, the total length of the race, we divide both sides of the equation by 0.85:
L = 24 miles / 0.85
L ≈ 28.24 miles
Therefore, the total length of the race is approximately 28.24 miles.