Question

С одной автостоянки одновременно в противоположных направлениях выехали два автомобиля. Через сколько часов расстояние между ними будет 510 км, если скорость первого автомобиля 45 км/ч, а скорость второго на 12 км/ч больше?

Answer 1

1)45+12=57(км\ч)-скорасть второго; 2)57+45=102(км\ч)-вся скорость; 3)510:102=5(ч) в)510:(45+12+45)=5(ч)

Answer 2

Problem Analysis

We have two cars starting from the same parking lot and moving in opposite directions. The first car has a speed of 45 km/h, while the second car has a speed that is 12 km/h faster than the first car. We need to determine how many hours it will take for the distance between the two cars to be 510 km.

Solution

To solve this problem, we can set up an equation based on the given information. Let's assume that it takes x hours for the distance between the two cars to be 510 km.

The distance traveled by the first car in x hours can be calculated using the formula: distance = speed * time. Therefore, the distance traveled by the first car is 45x km.

Similarly, the distance traveled by the second car in x hours can be calculated using the formula: distance = speed * time. Since the speed of the second car is 12 km/h faster than the first car, its speed is 45 + 12 = 57 km/h. Therefore, the distance traveled by the second car is 57x km.

According to the problem, the sum of the distances traveled by the two cars should be equal to 510 km. Therefore, we can set up the following equation:

45x + 57x = 510

Simplifying the equation:

102x = 510

Dividing both sides of the equation by 102:

x = 510 / 102

Simplifying further:

x = 5

Therefore, it will take 5 hours for the distance between the two cars to be 510 km.

Answer

It will take 5 hours for the distance between the two cars to be 510 km, given that the first car has a speed of 45 km/h and the second car has a speed that is 12 km/h faster than the first car.