Question

Скорость автобуса на 26 км/ч меньше скорости легкового автомобиля. Автобус за 5 ч проходит такой же путь, как легковой автомобиль за 3 ч. Найдите скорость автобуса.

Answer 1

Пусть х - легковое авто, тогда автобуса - х-26
т.к путь=скорость*время

х*3=(х-26)*5
3х=5х-130
2х=130
х=130/2
х=65 км/ч- скорость легк.авто
65-26= 39 км/ч - скорость автобуса

Answer 2

Problem Analysis

We are given that the speed of a bus is 26 km/h less than the speed of a car. The bus takes 5 hours to travel the same distance that the car travels in 3 hours. We need to find the speed of the bus.

Solution

Let's assume the speed of the car is x km/h. According to the problem, the speed of the bus is 26 km/h less than the speed of the car, so the speed of the bus is x - 26 km/h.

We know that distance = speed × time. The distance traveled by the bus in 5 hours is the same as the distance traveled by the car in 3 hours. Let's represent the distance as d km.

For the bus: distance = speed × time d = (x - 26) × 5

For the car: distance = speed × time d = x × 3

Since both distances are equal, we can set the two equations equal to each other and solve for x.

(x - 26) × 5 = x × 3

Let's solve this equation to find the value of x.

Calculation

(x - 26) × 5 = x × 3

Simplifying the equation: 5x - 130 = 3x

Bringing the 3x term to the left side: 5x - 3x = 130

Combining like terms: 2x = 130

Dividing both sides by 2: x = 65

The speed of the car is 65 km/h.

Now, let's find the speed of the bus by subtracting 26 from the speed of the car: Speed of the bus = 65 - 26 = 39 km/h

Answer

The speed of the bus is 39 km/h.