Question

Весь путь автобус ехал с неизменной скоростью. в первую часть пути автобус проехал столько километров, сколько минут ему осталось ехать. во вторую часть пути автобус проехал столько километров, сколько минут ехал в первую часть пути. какова скорость автобуса ?

Answer 1

Скорость равна на обоих участках ( по условию). Время тоже равно, т.к. условие для обоих половин равно. Соответственно скорость автобуса 60 км/ч.

Answer 2

Problem Analysis

We are given that a bus travels at a constant speed for its entire journey. In the first part of the journey, the bus travels a certain number of kilometers equal to the number of minutes remaining for it to reach its destination. In the second part of the journey, the bus travels a certain number of kilometers equal to the number of minutes it took to travel in the first part. We need to determine the speed of the bus.

Solution

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

In the first part of the journey, the bus travels a certain number of kilometers equal to the number of minutes remaining for it to reach its destination. Let's denote this distance as d1 km.

In the second part of the journey, the bus travels a certain number of kilometers equal to the number of minutes it took to travel in the first part. Let's denote this distance as d2 km.

To find the speed of the bus, we need to find the ratio of the total distance traveled to the total time taken.

The total distance traveled is the sum of d1 and d2.

The total time taken is the sum of the time taken to travel d1 km and the time taken to travel d2 km.

Since speed is equal to distance divided by time, we can write the equation:

v = (d1 + d2) / (d1/v + d2/v)

Simplifying the equation, we get:

v = (d1 + d2) / (d1/v + d2/v) = (d1 + d2) / ((d1 + d2)/v) = v

Therefore, the speed of the bus is v km/h.

Answer

The speed of the bus is v km/h.