Question

Из двух городов, расстояние между которыми 600 км, выехали одновременно навстречу друг другу два автобуса и встретились через 5 часов. скорость первого автобуса 65 км/час. найти скорость второго автобуса.

Answer 1

5•65=325км проехал первий автобус за 5 часов
600-325=275км проехал второй автобу за 5 часов
275:5=55км/час скорость 2 автобкса

Answer 2

Problem Analysis

We are given that two buses start from two different cities and travel towards each other. The distance between the cities is 600 km. The first bus has a speed of 65 km/h. We need to find the speed of the second bus.

Solution

Let's assume the speed of the second bus is x km/h.

We know that the time taken by both buses to meet is 5 hours.

The total distance traveled by the first bus is the product of its speed and time: 65 km/h * 5 hours = 325 km.

The total distance traveled by the second bus is also 325 km, as they meet in the middle.

Since the total distance traveled by both buses is 600 km, we can set up the following equation:

325 km + 325 km = 600 km

Simplifying the equation, we get:

650 km = 600 km

This equation is not true, which means our assumption that the speed of the second bus is x km/h is incorrect.

To find the correct speed of the second bus, we can use the fact that the total distance traveled by both buses is equal to the sum of the distances traveled by each bus.

Let's denote the speed of the second bus as y km/h.

The distance traveled by the first bus is the product of its speed and time: 65 km/h * 5 hours = 325 km.

The distance traveled by the second bus is the product of its speed and time: y km/h * 5 hours = 5y km.

The sum of the distances traveled by both buses is equal to the total distance between the cities:

325 km + 5y km = 600 km

Simplifying the equation, we get:

5y = 600 km - 325 km

5y = 275 km

Dividing both sides of the equation by 5, we get:

y = 55 km/h

Therefore, the speed of the second bus is 55 km/h.

Answer

The speed of the second bus is 55 km/h.