1. **State the problem:** Jim's car has 25 miles worth of gas left. We need to determine if he can drive from his house to the grocery store and back without refueling. 2. **Identify the key information:** The total distance Jim needs to travel is the distance to the grocery store and then back home, which is twice the one-way distance. 3. **Set up the inequality:** Let $d$ be the one-way distance from Jim's house to the grocery store. The total round trip distance is $2d$. 4. **Check if Jim can make the trip:** Jim can make the trip if the total distance $2d$ is less than or equal to the miles left in the car, which is 25 miles. $$2d \leq 25$$ 5. **Solve for $d$:** $$d \leq \frac{25}{2}$$ 6. **Interpretation:** Jim can make it to the grocery store and back without stopping for gas if the one-way distance to the grocery store is 12.5 miles or less. **Final answer:** If the grocery store is 12.5 miles or closer from Jim's house, he can make the round trip without refueling. Otherwise, he cannot.