Question

Расстояние между пунктами А и В равно 435 км. Одновременно навстречу друг другу из двух пунктов выехали 2 автомобиля и встретились через 3 часа. Найдите скорость каждого автомобиля, если скорость одного из них 5км / ч меньшая от скорости второго

Answer 1

Problem Analysis

We are given that the distance between points A and B is 435 km. Two cars start simultaneously from these points and meet each other after 3 hours. We need to find the speed of each car, given that the speed of one car is 5 km/h less than the speed of the other car.

Solution

Let's assume the speed of the first car is x km/h. Since the speed of the second car is 5 km/h more, its speed will be (x + 5) km/h.

We know that the distance traveled by both cars is equal to the total distance between points A and B, which is 435 km. Therefore, we can set up the following equation:

Distance traveled by the first car + Distance traveled by the second car = Total distance

Using the formula distance = speed × time, we can express the distances traveled by each car as follows:

(x km/h) × (3 hours) + ((x + 5) km/h) × (3 hours) = 435 km

Simplifying the equation:

3x + 3(x + 5) = 435

Solving for x:

6x + 15 = 435

6x = 420

x = 70

Therefore, the speed of the first car is 70 km/h and the speed of the second car is 75 km/h.

Answer

The speed of the first car is 70 km/h and the speed of the second car is 75 km/h.