Question

Легковой и грузовой автомобили выехали одновременно навстречу друг другу из пунктов D и C,расстояние между которыми 238,68 км. Найдите скорость каждого автомобиля,если скорость грузового автомобиля на 25,3 км/ч меньше скорости легкового автомобиля и встретились они через 1,8 ч после выезда.

Answer 1

Х-скорость легкового автомобиля
х-25,3 - скорость грузового
1,8*(х+х-25,3)=238,68
2х-25,3=238,68/1,8
2х=132,6+25,3
2х=157,9
х=78,95 - скорость легкового автомобиля
х-25,3=78,95-25.3 = 53,65

Поверим 53,65*1,8 +78,95*1,8=96,57+ 142,11=238,68

Answer 2

Problem Analysis

We are given that a passenger car and a truck start simultaneously from points D and C, respectively, and travel towards each other. The distance between points D and C is 238.68 km. We are also given that the truck's speed is 25.3 km/h less than the speed of the passenger car. They meet each other 1.8 hours after starting.

We need to find the speed of each vehicle.

Solution

Let's assume the speed of the passenger car is x km/h. Since the truck's speed is 25.3 km/h less than the speed of the passenger car, the speed of the truck is x - 25.3 km/h.

We can use the formula speed = distance / time to find the speed of each vehicle.

The time taken by both vehicles to meet each other is 1.8 hours.

The distance traveled by the passenger car is the sum of the distances traveled by both vehicles, which is equal to the total distance between points D and C (238.68 km).

Using the formula, we can set up the following equation:

x * 1.8 + (x - 25.3) * 1.8 = 238.68

Simplifying the equation:

1.8x + 1.8x - 45.54 = 238.68

3.6x = 284.22

x = 78.95

Therefore, the speed of the passenger car is 78.95 km/h.

The speed of the truck is 78.95 - 25.3 = 53.65 km/h.

Answer

The speed of the passenger car is 78.95 km/h, and the speed of the truck is 53.65 km/h.