Question

От автобусной станции в противоположном  направлении одновременно отошли два автобуса. Первый автобус шёл со скоростью  км/ч и был в пути 2ч.Второй автобусза это время проехал на 20 км больше,чем первый.С какой скоростью ехал второй автобус?Чему равно расстояние между автобусами?

Answer 1

Problem Analysis

We are given that two buses departed simultaneously from an opposite direction of a bus station. The first bus traveled at a speed of `x` km/h and was on the road for 2 hours. The second bus traveled 20 km more than the first bus during this time. We need to find the speed of the second bus and the distance between the two buses.

Solution

Let's solve the problem step by step.

1. Find the distance traveled by the first bus: - The first bus traveled for 2 hours at a speed of `x` km/h. - Therefore, the distance traveled by the first bus is `2x` km.

2. Find the distance traveled by the second bus: - The second bus traveled 20 km more than the first bus during the same time. - Therefore, the distance traveled by the second bus is `2x + 20` km.

3. Find the speed of the second bus: - The speed of a vehicle is calculated by dividing the distance traveled by the time taken. - The time taken by both buses is the same (2 hours). - Therefore, the speed of the second bus is `(2x + 20) / 2` km/h.

4. Find the distance between the two buses: - The distance between the two buses is the difference in the distances traveled by the two buses. - Therefore, the distance between the two buses is `(2x + 20) - 2x` km.

Calculation

Let's calculate the speed of the second bus and the distance between the two buses.

1. Speed of the second bus: - The speed of the second bus is `(2x + 20) / 2` km/h.

2. Distance between the two buses: - The distance between the two buses is `(2x + 20) - 2x` km.

Answer

The speed of the second bus is `(2x + 20) / 2` km/h. The distance between the two buses is `(2x + 20) - 2x` km.

Please note that we don't have the value of `x` in the given information, so we cannot provide a specific numerical answer.