1. **Problem statement:** A can finish the entire task alone in 12 hours. We need to determine if A can finish half the task in 6 hours. 2. **Formula and concept:** The work rate of A is the fraction of the task completed per hour. If A finishes the whole task in 12 hours, then A's work rate is: $$\text{Rate} = \frac{1 \text{ task}}{12 \text{ hours}} = \frac{1}{12} \text{ task/hour}$$ 3. **Calculate time to finish half the task:** To finish half the task, the time required is: $$\text{Time} = \frac{\text{Amount of work}}{\text{Rate}} = \frac{\frac{1}{2}}{\frac{1}{12}} = \frac{1}{2} \times 12 = 6 \text{ hours}$$ 4. **Interpretation:** Since the time calculated to finish half the task is exactly 6 hours, A can indeed finish half the task in 6 hours. **Final answer:** Yes, A can finish half the task in 6 hours.