1. Let's define the variables: Let $x$ be the number of hours Kerby spends running. Let $y$ be the number of hours Kerby spends walking. 2. According to the problem, the total training time is 3 hours: $$x + y = 3$$ 3. Kerby runs at 8 miles per hour and walks at 2 miles per hour. Since he runs then walks back the same distance, the distances are equal: $$8x = 2y$$ 4. From equation $$8x = 2y$$, solve for $$y$$: $$y = 4x$$ 5. Substitute $$y = 4x$$ into the total time equation $$x + y = 3$$: $$x + 4x = 3$$ $$5x = 3$$ $$x = \frac{3}{5} = 0.6$$ 6. Calculate $$y$$: $$y = 4x = 4 \times 0.6 = 2.4$$ 7. Therefore, Kerby spends $0.6$ hours running and $2.4$ hours walking. **Final answer:** Kerby spends $0.6$ hours running and $2.4$ hours walking.