1. On the road between cities A and B, there are some poles in certain places, and two numbers are written on each pole: how many kilometers from the pole to city A, and how many kilometers from the pole to city B. A tourist walking from one city to the other saw a pole where one of the numbers was three times the other. After walking 40 kilometers from the first pole, he saw another pole where one of the numbers was three times the other. The tourist walked another 10 kilometers and saw another pole. What is the ratio of the larger number to the smaller number on this pole?
Answer: 7.

Solution: Without loss of generality, we can assume that the tourist saw the first post when he was closer to city A. Let the distance from the first post to A be $x$ kilometers, then the distance from it to B is $3x$. If the numbers on the second post are $y$ and $3y$, then $x + 3x = y + 3y$, since the sum of the numbers on the posts is equal to the distance between the cities. Thus, $x = y$, meaning the pairs of numbers on the first and second posts are the same. After 40 kilometers, the distances could not have remained the same, so they must have switched places. Therefore, the tourist is farther from city A by $3x - x = 2x$, that is, $2x = 40, x = 20$. So, on the third post, the numbers are $60 + 10 = 70$ and $20 - 10 = 10$, and their ratio is 7.

Comment: Only the answer - 1 point.

Describing the numerical configuration that leads to the correct answer - 2 points.

Note: A solution that contains only the answer (even if it explains why it is achievable) cannot be complete. It is necessary to explain why there cannot be other possible answers.