Two cars drove out of points A and B towards each other at the same time. The first passes the distance

Two cars drove out of points A and B towards each other at the same time. The first passes the distance between A and B in 3 hours and the second – in 4 hours. Was there a meeting of cars if they are on the way for 1 hour? 2 h?

1) 1: 3 = 1/3 – part of the distance between A and B, which the first car will travel in 1 hour of movement.
2) 1: 4 = 1/4 – part of the distance between AT and B, which the second car will travel in 1 hour of movement.
3) 1/3 + 1/4 = 7/12 – the part of the path that both cars will travel in 1 hour of movement.
4) 7/12 less than 1 – after 1 hour of movement, the meeting of cars did not take place.
5) 2 * 1/3 = 2/3 – the part of the path that the first car will cover in 2 hours.
6) 2 * 1/4 = 1/2 – the part of the journey that the second car will cover in 2 hours.
7) 2/3 + 1/2 = 7/6 – the part of the path that both cars will cover in 2 hours.
8) 7/6 is more than 1 – the meeting of cars took place.
Answer: after 1 hour the meeting did not take place, after 2 hours the meeting took place.