Question

Автомобиль проезжает путь из города в город за 4 часа если бы он ехал со скоростью на 20 км в час быстрее то он затратил на этот путь 3 часа Найдите скорость автомобиля

Answer 1

Скорость автомобиля - х км\ч
весь путь  4х км
новая скорость  -  х+20 км\ч
весь путь тот же  и равен (х+20)*3
сост.уравнение    4х=(х+20)*3
 4х=3х+60
4х-3х=60
х=60 км\ч  скорость автомобиля
проверка   60*4=(60+20)*3
                   240=80*3
                     240=240

Answer 2

Problem Analysis

We are given that a car travels a certain distance from one city to another in 4 hours. If the car had traveled 20 km/h faster, it would have taken 3 hours to cover the same distance. We need to find the speed of the car.

Solution

Let's assume the speed of the car is x km/h. According to the given information, we can set up the following equation:

Distance = Speed × Time

For the first scenario, where the car takes 4 hours to cover the distance, the equation becomes:

Distance = x km/h × 4 hours

For the second scenario, where the car takes 3 hours to cover the distance at a speed 20 km/h faster, the equation becomes:

Distance = (x + 20) km/h × 3 hours

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

x km/h × 4 hours = (x + 20) km/h × 3 hours

Simplifying the equation:

4x = 3(x + 20)

Now, let's solve this equation to find the value of x, which represents the speed of the car.

Calculation

Expanding the equation:

4x = 3x + 60

Subtracting 3x from both sides:

x = 60

Therefore, the speed of the car is 60 km/h.

Answer

The speed of the car is 60 km/h.