Question

Автомобиль проезжает некоторое расстояние за 10 часов.Если бы он проезжал в час на 10 километров больше,тот же путь занял занял бы 8 часов.Какова скорость автомобиля? Помогите плиззз

Answer 1

Ответ:

Пошаговое объяснение:

Скорость = х км/ч

10 * х = 8 * (х + 10)

10х = 8х + 80

10х - 8х = 80

2х = 80

х = 80 : 2

х = 40

Ответ: 40 км/ч

Answer 2

10х=8(х+10)
10х=8х+80
2х=80
Х=40

Answer 3

Problem Analysis

We are given that a car travels a certain distance in 10 hours. If the car were to travel 10 kilometers per hour faster, it would take 8 hours to cover the same distance. We need to find the speed of the car.

Solution

Let's assume the initial speed of the car is x kilometers per hour. According to the problem, the car takes 10 hours to cover a certain distance at this speed.

We are also given that if the car were to travel at a speed 10 kilometers per hour faster, it would take 8 hours to cover the same distance. This means that the car would cover the distance in 8 hours at a speed of x + 10 kilometers per hour.

We can set up the following equation based on the given information:

Distance = Speed × Time

Using this equation, we can set up two equations based on the two scenarios:

1. Distance = x × 10 (10 hours at speed x) 2. Distance = (x + 10) × 8 (8 hours at speed x + 10)

We can solve these equations simultaneously to find the value of x, which represents the speed of the car.

Let's solve the equations:

1. Distance = x × 10 2. Distance = (x + 10) × 8

Since the distance is the same in both scenarios, we can equate the two equations:

x × 10 = (x + 10) × 8

Simplifying the equation:

10x = 8x + 80

Subtracting 8x from both sides:

2x = 80

Dividing both sides by 2:

x = 40

Therefore, the speed of the car is 40 kilometers per hour.

Answer

The speed of the car is 40 kilometers per hour.