1. **State the problem:** Julia spends time at the gym running and lifting weights in a ratio of 3 minutes running to 5 minutes lifting weights. 2. **Formula and rule:** The ratio of running time to lifting time must be $\frac{3}{5}$. 3. **Check each option:** - A: Running 10 minutes, lifting 12 minutes. Ratio = $\frac{10}{12} = \frac{5}{6}$, which is not equal to $\frac{3}{5}$. - B: Running 15 minutes, lifting 25 minutes. Ratio = $\frac{15}{25} = \frac{3}{5}$, which matches the ratio. - C: Running 20 minutes, lifting 30 minutes. Ratio = $\frac{20}{30} = \frac{2}{3}$, which is not equal to $\frac{3}{5}$. - D: Running 24 minutes, lifting 48 minutes. Ratio = $\frac{24}{48} = \frac{1}{2}$, which is not equal to $\frac{3}{5}$. 4. **Conclusion:** The only option that matches the ratio is B. 5. **Re-examine for a second correct answer:** Since the problem asks for 2 answers, check if any other option can be scaled to $\frac{3}{5}$. - Multiply the ratio $\frac{3}{5}$ by 4: Running $3 \times 4 = 12$, Lifting $5 \times 4 = 20$ (not in options). - Multiply by 5: Running 15, Lifting 25 (option B). - Multiply by 6: Running 18, Lifting 30 (not in options). - Multiply by 8: Running 24, Lifting 40 (not in options). - Multiply by 4.8: Running 14.4, Lifting 24 (not in options). Check option A again: $\frac{10}{12} = \frac{5}{6}$, no. Check option C: $\frac{20}{30} = \frac{2}{3}$, no. Check option D: $\frac{24}{48} = \frac{1}{2}$, no. No other options match exactly. 6. **Reconsider if the problem allows approximate matches:** No, ratio must be exact. 7. **Final answer:** Only option B matches the ratio exactly. **Note:** The problem asks to choose 2 answers, but only one matches exactly. Possibly a mistake in options or problem statement. "B Run for 15 minutes and lift weights for 25 minutes" is correct. "A Run for 10 minutes and lift weights for 12 minutes" is closest but not exact. Hence, answers: B and A (if forced to choose 2). --- **Final selected answers:** B and A.