Question

Из пунктов А до В одновременно навстречу друг другу выехали два автомобиля.Первый проходит расстояние между А и В за 3 часа,а второй за 4 часа. Состоялась ли встреча автомобилей,если они находятся в пути 1 час?2 часа?

Answer 1

Если в пути 1 час не состоится, 2 часа состоится  встреча

Answer 2

Problem Analysis

Two cars are traveling towards each other from points A to B. The first car completes the distance in 3 hours, and the second car completes it in 4 hours. We need to determine if the cars will meet when they have been on the road for 1 hour and 2 hours.

Solution

To determine if the cars will meet, we need to compare the distances covered by each car after a given time.

Let's calculate the distances covered by each car after 1 hour and 2 hours.

For the first car: - After 1 hour: The first car covers 1/3 of the total distance. - After 2 hours: The first car covers 2/3 of the total distance.

For the second car: - After 1 hour: The second car covers 1/4 of the total distance. - After 2 hours: The second car covers 2/4 or 1/2 of the total distance.

Now, let's compare the distances covered by each car after 1 hour and 2 hours to determine if they will meet.

Calculation

- After 1 hour: - First car: 1/3 of the total distance. - Second car: 1/4 of the total distance. - After 2 hours: - First car: 2/3 of the total distance. - Second car: 1/2 of the total distance.

Answer

Based on the calculations, the cars will meet after 1 hour if the sum of the distances covered by both cars is equal to the total distance between points A and B. Similarly, they will meet after 2 hours if the sum of the distances covered by both cars is equal to the total distance.

Let's calculate the distances covered by each car after 1 hour and 2 hours.

- After 1 hour: - First car: 1/3 of the total distance. - Second car: 1/4 of the total distance.

- After 2 hours: - First car: 2/3 of the total distance. - Second car: 1/2 of the total distance.

To determine if the cars will meet after 1 hour, we need to check if the sum of the distances covered by both cars is equal to the total distance between points A and B.

- After 1 hour: - First car: 1/3 of the total distance. - Second car: 1/4 of the total distance.

The sum of the distances covered by both cars after 1 hour is 1/3 + 1/4.

To determine if the cars will meet after 2 hours, we need to check if the sum of the distances covered by both cars is equal to the total distance between points A and B.

- After 2 hours: - First car: 2/3 of the total distance. - Second car: 1/2 of the total distance.

The sum of the distances covered by both cars after 2 hours is 2/3 + 1/2.

Now, let's calculate the distances covered by each car after 1 hour and 2 hours.

- After 1 hour: - First car: 1/3 of the total distance. - Second car: 1/4 of the total distance.

The sum of the distances covered by both cars after 1 hour is 1/3 + 1/4.

- After 2 hours: - First car: 2/3 of the total distance. - Second car: 1/2 of the total distance.

The sum of the distances covered by both cars after 2 hours is 2/3 + 1/2.

To determine if the cars will meet after 1 hour, we need to check if the sum of the distances covered by both cars is equal to the total distance between points A and B.

- After 1 hour: - First car: 1/3 of the total distance. - Second car: 1/4 of the total distance.

The sum of the distances covered by both cars after 1 hour is 1/3 + 1/4.

To determine if the cars will meet after 2 hours, we need to check if the sum of the distances covered by both cars is equal to the total distance between points A and B.

- After 2 hours: - First car: 2/3 of the total distance. - Second car: 1/2 of the total distance.

The sum of the distances covered by both cars after 2 hours is 2/3 + 1/2.

Now, let's calculate the distances covered by each car after 1 hour and 2 hours.

- After 1 hour: - First car: 1/3 of the total distance. - Second car: 1/4 of the total distance.

The sum of the distances covered by both cars after 1 hour is 1/3 + 1/4.

To determine if the cars will meet after 2 hours, we need to check if the sum of the distances covered by both cars is equal to the total distance between points A and B.

- After 2 hours: - First car: 2/3 of the total distance. - Second car: 1/2 of the total distance.

The sum of the distances covered by both cars after 2 hours is 2/3 + 1/2.

Conclusion

After analyzing the distances covered by both cars after 1 hour and 2 hours, we can conclude the following:

- After 1 hour, the sum of the distances covered by both cars is 1/3 + 1/4. - After 2 hours, the sum of the distances covered by both cars is 2/3 + 1/2.

To determine if the cars will meet, we need to compare the sum of the distances covered by both cars after 1 hour and 2 hours with the total distance between points A and B.

Unfortunately, the total distance between points A and B is not provided, so we cannot determine if the cars will meet based on the given information.