Two cars drove out of points A and B at the same time towards each other. One can travel the distance in 3 hours

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?

1. Imagine the entire distance as 1. Since the first car covers this distance in 3 hours, and the second in 2 hours, we can find out which part of the path each will travel in 1 hour. To do this, we divide the entire path by the number of hours spent on its passage. We get:

a) 1: 3 = 1/3 (part of the way) – will be covered by the first car in 1 hour.

b) 1: 2 = 1/2 (part of the way) – will be covered by the second car in 1 hour.

2. Now we need to find a common denominator for all fractions. The common denominator will be 6. Then the total path will be 6/6, the part of the path that will be covered by the first car in 1 hour will be 2/6, and the second 3/6.

3. Now we need to subtract from this path those parts that will be traversed by cars. We get:

6/6 – 2/6 – 3/6 = 1/6 (part of the path) – will remain between the cars.

Answer: 1/6 of the way.