Question

Из двух городов, расстояние между которыми равно 392 км, выехали одновременно навстречу друг другу два автомобиля. Скорость одного автомобиля равна 48 км/ч, что составляет 6/7 скорости второго. Какое расстояние будет между автомобилями через 5 ч после начала движения?

Answer 1

48/6*7=56 км в час второй
56+48=104 скорость сближения
104*5=520 проехали оба
392-520=-128 км ( на 128 км разъехались после встречи)

Answer 2

Problem Setup

Two cars, each traveling towards the other, start from two cities that are 392 km apart. The first car travels at a speed of 48 km/h, which is 6/7 of the speed of the second car. We need to find the distance between the two cars after 5 hours of travel.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed of two objects moving towards each other is the sum of their individual speeds. We can use this concept to find the distance between the two cars after 5 hours.

First, let's find the speed of the second car.

The speed of the first car is given as 48 km/h, and it is 6/7 of the speed of the second car. We can calculate the speed of the second car using this information.

Speed of the second car (v2) = (48 km/h) / (6/7) Speed of the second car (v2) = 48 km/h * (7/6) Speed of the second car (v2) = 56 km/h

Now that we have the speeds of both cars, we can find their relative speed.

Relative speed = Speed of first car + Speed of second car Relative speed = 48 km/h + 56 km/h Relative speed = 104 km/h

Now, we can find the distance between the two cars after 5 hours using the formula:

Distance = Relative speed * Time Distance = 104 km/h * 5 h Distance = 520 km

Answer

After 5 hours of travel, the distance between the two cars will be 520 kilometers.