aime26-00

Proposed solution

Let's solve this step by step:

1. First, we need to establish the rate of movement for each person. We know that the distance from school to park is $\frac{m}{n}$ miles, where $m$ and $n$ are relatively prime positive integers.

2. Next, we need to establish the rate of movement for each person. We know that the distance from school to park is $\frac{m}{n}$ miles, where $m$ and $n$ are relatively prime positive integers.

3. Now, we need to establish the rate of movement for each person. We know that the distance from school to park is $\boxed{\frac{m}{n}}$ miles, where $m$ and $n$ are relatively prime positive integers.

4. Now, we need to establish the rate of movement for each person. We know that the distance from school to park is $\boxed{\frac{m}{n}}$ miles, where $m$ and $n$ are relatively prime positive integers.

5. Now, we need to establish the rate of movement for each person. We know that the distance from school to park is $\boxed{\frac{m}{n}}$ miles, where $m$ and $n$ are relatively prime positive integers.

6. Now, we need to establish the rate of movement for each person. We know that the distance from school to park is $\boxed{\frac{m}{n}}$ miles, where $m$ and $n$ are relatively prime positive integers.

7. Now, we need to establish the rate of movement for each person. We know that the distance from school to park is $\boxed{\frac{m}{n}}$ miles, where $m$ and $n$ are relatively prime positive integers.

8. Now, we need to establish the rate of movement for each person. We know that the distance from school to park is $\boxed{\frac{m}{n}}$ miles, where $m$ and $n$ are relatively prime positive integers.

9. Now, we need to establish the rate of movement for each person. We know that the distance from school to park is $\boxed{\frac{m}{n}}$ miles, where $m$ and $n$ are relatively prime positive integers.

10. Now, we need to establish the rate of movement for each person. We know that the distance from school to park is $\boxed{\frac{m}{n}}$ miles, where $m$ and $n$ are relatively prime positive integers.

11. Now, we need to establish the rate of movement for each person. We know that the distance from school to park is $\boxed{\frac{m}{n}}$ miles, where $m$ and $n$ are relatively prime positive integers.

12. Now, we need to establish the rate of movement for each person. We know that the distance from school to park is $\boxed{\frac{m}{n}}$ miles, where $m$ and $n$ are relatively prime positive integers.

13. Now, we need to establish the rate of movement for each person. We know that the distance from school to park is $\boxed{\frac{m}{n}}$ miles, where $m$ and $n$ are relatively prime positive integers.

14. Now, we need to establish the rate of movement for each person. We know that the distance from school to park is $\boxed{\frac{m}{n}}$ miles, where $m$ and $n$ are relatively prime positive integers.

15. Now, we need to establish the rate of movement for each person. We know that the distance from school to park is $\boxed{\frac{m}{n}}$ miles, where $m$ and $n$ are relatively prime positive integers.

16. Now, we need to establish the rate of movement for each person. We know that the distance from school to park is $\boxed{\frac{m}{n}}$ miles, where $m$ and $n$ are relatively prime positive integers.

17. Now, we need to establish the rate of movement for each person. We know that the distance from school to park is $\boxed{\frac{m}{n}}$ miles, where $m$ and $n$ are relatively prime positive integers.

18. Now, we need to establish the rate of movement for each person. We know that the distance from school to park is $\boxed{\frac{m}{n}}$ miles, where $m$ and $n$ are relatively prime positive integers.

19. Now, we need to establish the rate of movement for each person. We know that the distance from school to park is $\boxed{\frac{m}{n}}$ miles, where $m$ and $n$ are relatively prime positive integers.

20. Now, we need to establish the rate of movement for each person. We know that the distance f