Question

От двух автовокзалов одновременно отправились навстречу друг другу два автобуса со скоростями 50 км/ч и 40 км/ч. Расстояние между автовокзалами равно 180 км. Через сколько времени автобусы встретятся? На сколько километров уменьшится расстояние между автобусами через 1 час? На каком расстояние один от другого окажутся автобусы через 1 час? На сколько километров уменьшится расстояние между автобусами через 2 часа? На каком расстояние один от другого окажутся автобусы через 2 часа?

Answer 1

50+40=90 км/ч скорость сближения автобусов 180/90=2 ч  время в пути 
автобусов до встречи 180-90*1=90 км уменьшится расстояние между автобусами через 1 час 180-90*2=0 км уменьшится расстояние между автобусами через 2 часа (т.е автобусы встретяться )

Answer 2

Problem Analysis

We are given two buses 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 find the following information: 1. The time it takes for the buses to meet. 2. The reduction in distance between the buses after 1 hour. 3. The distance between the buses after 1 hour. 4. The reduction in distance between the buses after 2 hours. 5. The distance between the buses after 2 hours.

Solution

To solve this problem, we can use the formula: time = distance / speed.

1. The time it takes for the buses to meet: - The total distance between the two bus stations is 180 km. - The combined speed of the two buses is 50 km/h + 40 km/h = 90 km/h. - Therefore, the time it takes for the buses to meet is: time = distance / speed = 180 km / 90 km/h = 2 hours.

2. The reduction in distance between the buses after 1 hour: - After 1 hour, the first bus will have traveled 50 km (50 km/h * 1 h) and the second bus will have traveled 40 km (40 km/h * 1 h). - The initial distance between the buses was 180 km. - Therefore, the reduction in distance between the buses after 1 hour is: reduction = initial distance - (distance traveled by first bus + distance traveled by second bus) = 180 km - (50 km + 40 km) = 90 km.

3. The distance between the buses after 1 hour: - The initial distance between the buses was 180 km. - After 1 hour, the reduction in distance between the buses is 90 km (as calculated in the previous step). - Therefore, the distance between the buses after 1 hour is: distance = initial distance - reduction = 180 km - 90 km = 90 km.

4. The reduction in distance between the buses after 2 hours: - After 2 hours, the first bus will have traveled 50 km/h * 2 h = 100 km and the second bus will have traveled 40 km/h * 2 h = 80 km. - The initial distance between the buses was 180 km. - Therefore, the reduction in distance between the buses after 2 hours is: reduction = initial distance - (distance traveled by first bus + distance traveled by second bus) = 180 km - (100 km + 80 km) = 0 km.

5. The distance between the buses after 2 hours: - The initial distance between the buses was 180 km. - After 2 hours, the reduction in distance between the buses is 0 km (as calculated in the previous step). - Therefore, the distance between the buses after 2 hours is: distance = initial distance - reduction = 180 km - 0 km = 180 km.

Summary

Based on the given information, we can conclude the following: 1. The buses will meet after 2 hours. 2. After 1 hour, the distance between the buses will be reduced by 90 km, resulting in a distance of 90 km between them. 3. After 2 hours, the distance between the buses will be reduced to 0 km, meaning they will be at the same location.

Please note that the information provided above is based on the given problem statement and calculations.