Two cars drove out of points A and B at the same time towards each other. One can travel the distance

Two cars drove out of points A and B at the same time towards each other. One can travel the distance in 3 hours and the other in 2 hours. What part of the distance will be between them in 1 hour.

Brief notation of the problem condition:
t1 – 3 hours;
t2 – 2 hours;
∆t – 1 hour;
∆S -?;
Decision:
1) Let’s take the distance between points A and B as 1;
2) Let’s find what part of the distance the first car travels in one hour:
1: 3 = 1/3;
3) Let’s find what part of the distance the second car travels in one hour:
1: 2 = 1/2;
4) Let’s find what part of the distance between cars in one hour:
1/2 – 1/3 = 1 * 3/2 * 3 – 1 * 2/3 * 2 = 3/6 – 2/6 = (3 – 2) / 6 = 1/6;
Answer: 1/6 part.