Question

Помогите решить :Скорость легкового автомобиля в два раза больше скорости грузовика. Выехав на 1 час позже, за три часа пути автомобиль проехал расстояние на 100 км больше, чем грузовик. Какова скорость легкового автомобиля?

Answer 1

примем скорость грузовика за икс и составим уравнение:

х*4+100=2х*3 (грузовик был в пути 4 часа и прошел на 100 км меньше, следовательно, добавляем 100 к левой части)

4х+100=6х

2х=100

х=50

Скорость грузовика=50 км/ч, следовательно скорость легкового автомобиля будет равна 100 км/ч

Answer 2

Problem Analysis

To solve this problem, we need to determine the speed of the car. We are given that the car's speed is twice the speed of the truck, and that the car traveled 100 km more than the truck in three hours. We also know that the car started one hour later than the truck.

Solution

Let's assume the speed of the truck is x km/h. According to the problem, the speed of the car is twice the speed of the truck, so the speed of the car is 2x km/h.

We are given that the car traveled 100 km more than the truck in three hours. This means that the car traveled 100 km + the distance traveled by the truck in three hours.

Since the car started one hour later than the truck, the truck traveled for three hours, while the car traveled for two hours.

To find the speed of the car, we can set up the following equation:

2x * 2 = x * 3 + 100

Simplifying the equation:

4x = 3x + 100

Subtracting 3x from both sides:

x = 100

Therefore, the speed of the truck is 100 km/h.

Since the speed of the car is twice the speed of the truck, the speed of the car is:

2 * 100 = 200 km/h

So, the speed of the car is 200 km/h.

Answer

The speed of the car is 200 km/h.