14. (12 points) Cars A and B start from points A and B respectively and travel towards each other, meeting at point C after 6 hours. If car A's speed remains unchanged, and car B increases its speed by 5 kilometers per hour, and the two cars still start from points A and B respectively and travel towards each other, the meeting point will be 12 kilometers away from point C. If car B's speed remains unchanged, and car A increases its speed by 5 kilometers per hour, the meeting point will be 16 kilometers away from point C. How many kilometers per hour did car A originally travel?
【Solution】Solution: Through the above analysis, we get:
For car A, comparing the first and second encounters, the speed remains unchanged. Traveling for 6 hours, they meet at point C, and traveling for 5.6 hours, they are 12 kilometers short, meaning car A travels 12 kilometers in 0.4 hours.

The speed of car A is: $12 \div 0.4=30$ (km/h).
Answer: Car A originally traveled 30 kilometers per hour.