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 встретяться?

Answer 1

50+40=90 км/час скорость сближения
180:90=2 часа
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Answer 2

50+40 = 90
180 : 90= 2 часа

Answer 3

Problem Analysis

We have 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 determine how many hours it will take for the buses to meet.

Solution

To solve this problem, we can use the formula: time = distance / speed. We can calculate the time it takes for each bus to reach the meeting point and then find the total time.

Let's calculate the time it takes for the first bus to reach the meeting point: - Distance traveled by the first bus = 50 km/h * time - Distance traveled by the second bus = 40 km/h * time - The sum of the distances traveled by both buses should be equal to the total distance between the bus stations, which is 180 km.

We can set up the equation: 50 km/h * time + 40 km/h * time = 180 km

Simplifying the equation: 90 km/h * time = 180 km

Dividing both sides by 90 km/h: time = 180 km / 90 km/h

Calculation

Let's calculate the time it takes for the buses to meet:

time = 180 km / 90 km/h time = 2 hours

Answer

The buses will meet after 2 hours.

Explanation

After analyzing the problem, we used the formula time = distance / speed to calculate the time it takes for the buses to meet. By substituting the given values into the formula, we found that the buses will meet after 2 hours. This means that after 2 hours of traveling, the first bus will have traveled 100 km (50 km/h * 2 hours) and the second bus will have traveled 80 km (40 km/h * 2 hours), resulting in a total distance of 180 km between them.