Question

Помогите решить задачу! Из Таллинна и Вильнюса,расстояние между которым 800 км,одновременно выехали навстречу друг другу два автомобиля.Они встретились через 5 часов на расстоянии 375 км от Таллинна.С какой скоростью ехал каждый автомобиль? Нужно решение и ответ!Зарание спасибо!!

Answer 1

800:5=160 км в час скорость сближения
375:5=75 км в час скорость одного
160-75=85 км в час скорость другого

Answer 2

Problem Analysis

We have two cars traveling towards each other from Tallinn and Vilnius, which are 800 km apart. They meet after 5 hours at a distance of 375 km from Tallinn. We need to find the speed of each car.

Solution

Let's assume the speed of the first car (from Tallinn) is x km/h and the speed of the second car (from Vilnius) is y km/h.

We know that the total distance traveled by both cars is equal to the sum of the distances traveled by each car. Therefore, we can write the equation:

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

Using the formula speed = distance / time, we can calculate the distance traveled by each car.

The first car travels for 5 hours at a speed of x km/h, so the distance traveled by the first car is 5x km.

The second car also travels for 5 hours at a speed of y km/h, so the distance traveled by the second car is 5y km.

Substituting these values into the equation, we get:

5x + 5y = 800

We also know that they meet at a distance of 375 km from Tallinn. Since the first car travels for 5 hours, the distance traveled by the first car is 5x km. Therefore, we can write another equation:

5x = 375

Now we have a system of two equations:

5x + 5y = 800 5x = 375

We can solve this system of equations to find the values of x and y.

Solving the System of Equations

Let's solve the system of equations using the substitution method.

From the second equation, we can solve for x:

5x = 375 x = 375 / 5 x = 75

Now we can substitute the value of x into the first equation:

5(75) + 5y = 800 375 + 5y = 800 5y = 800 - 375 5y = 425 y = 425 / 5 y = 85

Therefore, the speed of the first car is 75 km/h and the speed of the second car is 85 km/h.

Answer

The first car traveled at a speed of 75 km/h and the second car traveled at a speed of 85 km/h.

Note: The solution provided is based on the given information and calculations.