Question

от двух автовокзалов одновременно отправились навстречу один другому два автобуса со скоростями 50 км\ч и 40 км\ч. расстояние между автовокзалами равно 180 км. через сколько часов автобусы встретятся? Запиши действия к данным вопросам. 1. на сколько километров уменьшится расстояние между автобусами через 1 час?2. на каком расстоянии один от другого окажутся автобусы через 1 час после начала движения?3. на сколько километров уменьшится расстояние между автобусами через 2 часа после начала движения?4. на каком расстоянии один от другого окажутся автобусы через 2 часа?

Answer 1

180:(50+40)=через 2 ч автобусы встретятся
1. 180-(50+40)= на 90 км уменьшится растояние между авт чез час
2. 90 км
3. на 180 км
4.  180 -180 =0 км

Answer 2

Problem Setup

Two buses are traveling towards each other from two different bus stations. The first bus has a speed of 50 km/h, and the second bus has a speed of 40 km/h. The distance between the bus stations is 180 km. We need to calculate the time it takes for the buses to meet and answer related questions.

Time to Meet

To find the time it takes for the buses to meet, we can use the formula: $$ \text{time} = \frac{\text{distance}}{\text{relative speed}} $$

The relative speed of the buses is the sum of their speeds, which is 50 km/h + 40 km/h = 90 km/h. Substituting the values, we get: $$ \text{time} = \frac{180 \text{ km}}{90 \text{ km/h}} = 2 \text{ hours} $$

So, the buses will meet after 2 hours.

Questions

1. Distance Reduction After 1 Hour: - The distance between the buses will reduce by 90 km after 1 hour. - This can be calculated using the formula: distance = speed * time. - Substituting the values, we get: distance = 90 km/h * 1 h = 90 km.

2. Distance Between Buses After 1 Hour: - After 1 hour, the buses will be 90 km apart from each other. - This can be calculated using the formula: distance = speed * time. - Substituting the values, we get: distance = 90 km/h * 1 h = 90 km.

3. Distance Reduction After 2 Hours: - The distance between the buses will reduce by 180 km after 2 hours. - This can be calculated using the formula: distance = speed * time. - Substituting the values, we get: distance = 90 km/h * 2 h = 180 km.

4. Distance Between Buses After 2 Hours: - After 2 hours, the buses will meet, so the distance between them will be 0 km.

These calculations provide a comprehensive understanding of the buses' movements and their positions at different time intervals.