Question

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

Answer 1

Пусть скорость автомобиля равна х км/ч, тогда скорость автобуса равна х-26 км/ч.За 5 часов автобус пройдёт путь равный 5(х-26) км, а автомобиль за 3 часа пройдёт 3х км. По условию это одно и то же расстояние. Составляем уравнение:
5(х-26)=3х
5х-130=3х
5х-3х=130
2х=130
х=130:2

х=65 (км/ч)- скорость автомобиля

х-26=65-26=39 (км/ч) - скорость автомобиля

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. Since the speed of the bus is 26 km/h less than the speed of the car, the speed of the bus can be represented as 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. Therefore, we can set up the following equation:

(x - 26) × 5 = x × 3

Now, let's solve this equation to find the speed of the bus.

Calculation

Expanding the equation, we get:

5x - 130 = 3x

Subtracting 3x from both sides, we get:

2x - 130 = 0

Adding 130 to both sides, we get:

2x = 130

Dividing both sides by 2, we get:

x = 65

Therefore, the speed of the car is 65 km/h.

To find the speed of the bus, we substitute the value of x into the expression x - 26:

65 - 26 = 39

Therefore, the speed of the bus is 39 km/h.

Answer

The speed of the bus is 39 km/h.

Verification

Let's verify our answer using the given information. The bus takes 5 hours to travel the same distance that the car travels in 3 hours.

The distance traveled by the bus in 5 hours is 39 km/h × 5 hours = 195 km.

The distance traveled by the car in 3 hours is 65 km/h × 3 hours = 195 km.

Since both distances are the same, our answer is verified.