Question

2 автомобиля выехали одновременно на встречу друг другу и через 3 часа встретились.Один автомобиль ехал со скоростью 80км/ч,другой-90 км/ч.какое расстояние было между ними в начале пути? решить задачу 2 способами С ПОЯСНЕНИЯМИ

Answer 1

1 способ
80+90=170км/час скорость сближения (проходят вместе за час)
170*3=510км расстояние
2 способ
80*3=240км проехал первый за 3 часа
90*3=270км проехал второй за 3 часа
240+270=510 км расстояние

Answer 2

1)  s=v/t
v1=80км/ч
v2=90км/ч
vобщая(1+2)= 80+90=170км/ч
170*3=510 километров было между ними в начале пути
 2) 80*3+90*3=510 километров

Answer 3

Problem Statement

Два автомобиля выехали одновременно на встречу друг другу и через 3 часа встретились. Один автомобиль ехал со скоростью 80 км/ч, другой - 90 км/ч. Какое расстояние было между ними в начале пути? Решить задачу 2 способами с пояснениями.

Solution 1: Using Relative Speed

To solve this problem, we can use the concept of relative speed. The relative speed between two objects moving towards each other is the sum of their individual speeds. In this case, the relative speed is the sum of the speeds of the two cars.

Let's denote the distance between the two cars at the beginning of their journey as d.

The first car is traveling at a speed of 80 km/h, and the second car is traveling at a speed of 90 km/h. Since they are moving towards each other, their relative speed is 80 km/h + 90 km/h = 170 km/h.

We know that the time taken for the two cars to meet is 3 hours.

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

For the first car: distance_1 = speed_1 × time = 80 km/h × 3 h = 240 km.

For the second car: distance_2 = speed_2 × time = 90 km/h × 3 h = 270 km.

Since the total distance traveled by both cars is equal to the initial distance between them, we can write the equation: distance_1 + distance_2 = d.

Substituting the values we calculated earlier, we get: 240 km + 270 km = d.

Simplifying the equation, we find: d = 510 km.

Therefore, the initial distance between the two cars was 510 km.

Solution 2: Using Time and Speed

Another way to solve this problem is by considering the time taken by each car to cover the initial distance between them.

Let's denote the distance between the two cars at the beginning of their journey as d.

The first car is traveling at a speed of 80 km/h, and the second car is traveling at a speed of 90 km/h. Since they are moving towards each other, their combined speed is 80 km/h + 90 km/h = 170 km/h.

We know that the time taken for the two cars to meet is 3 hours.

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

For the first car: distance_1 = speed_1 × time = 80 km/h × 3 h = 240 km.

For the second car: distance_2 = speed_2 × time = 90 km/h × 3 h = 270 km.

Since the total distance traveled by both cars is equal to the initial distance between them, we can write the equation: distance_1 + distance_2 = d.

Substituting the values we calculated earlier