Question

Расстояние от города до деревни 712 км. Из деревни в город выехал автомобиль со скоростью 48 км/ч. Через 4 часа навстречу ему из города выехал другой автомобиль со скоростью 56 км/ч. Через сколько часов после выхода второго автомобиля они встретятся?

Answer 1

48 км/час*4 час=192 км (проехал 1-й до выезда 2-го) (S=Vt)
712 км-192 км=520 км (между авто, когда выехал 2-й)
48 км/час+56 км/час=104 км/час (скорость сближения)
520 км:104 км/час=5 час (t=S:V)
Ответ: через 5 часов после выезда второго автомобиля они встретятся

Answer 2

Problem Analysis

We are given that the distance from the city to the village is 712 km. A car leaves the village towards the city at a speed of 48 km/h. After 4 hours, another car leaves the city towards the village at a speed of 56 km/h. We need to determine how many hours it will take for the two cars to meet.

Solution

To solve this problem, we can use the formula: time = distance / speed.

Let's calculate the time it takes for the first car to reach the meeting point: - Distance traveled by the first car = 48 km/h * 4 hours = 192 km.

Now, let's calculate the remaining distance between the meeting point and the city: - Remaining distance = Total distance - Distance traveled by the first car = 712 km - 192 km = 520 km.

Next, let's calculate the time it takes for the second car to reach the meeting point: - Time = Remaining distance / Speed of the second car = 520 km / 56 km/h.

Finally, we can calculate the total time it takes for the two cars to meet: - Total time = Time taken by the first car + Time taken by the second car.

Let's calculate the values:

1. Time taken by the first car: - Distance traveled by the first car = 192 km. - Speed of the first car = 48 km/h. - Time taken by the first car = Distance / Speed = 192 km / 48 km/h = 4 hours.

2. Time taken by the second car: - Remaining distance = 520 km. - Speed of the second car = 56 km/h. - Time taken by the second car = Remaining distance / Speed = 520 km / 56 km/h = 9.2857 hours (rounded to 4 decimal places).

3. Total time taken for the two cars to meet: - Total time = Time taken by the first car + Time taken by the second car = 4 hours + 9.2857 hours = 13.2857 hours (rounded to 4 decimal places).

Therefore, the two cars will meet approximately 13.2857 hours after the second car leaves the city.

Answer

The two cars will meet approximately 13.2857 hours after the second car leaves the city.