Question

Помогите решить задачу: Расстояние между станциями Актогай и Дружба равно 314,8 км. Со станции Актогай вышел товарный поезд со скоростью 55,4 км ч, одновременно навстречу ему со станции Дружба вышел пассажирский поезд со скоростью 78.8 км ч. Какое расстояние будет между ними через 1 ч?

Answer 1

314,8-(55,4+78,8)*1=314,8-55,4-78,8=180,6км

Answer 2

Problem Analysis

We are given the distance between two stations, Aktogay and Druzhba, which is 314.8 km. A freight train leaves Aktogay with a speed of 55.4 km/h, while a passenger train leaves Druzhba towards Aktogay with a speed of 78.8 km/h. We need to find the distance between the two trains after 1 hour.

Solution

To find the distance between the two trains after 1 hour, we need to calculate the distance covered by each train in 1 hour and subtract it from the total distance between the stations.

Let's calculate the distance covered by the freight train in 1 hour: - Speed of the freight train = 55.4 km/h - Distance covered by the freight train in 1 hour = Speed * Time = 55.4 km/h * 1 hour = 55.4 km

Next, let's calculate the distance covered by the passenger train in 1 hour: - Speed of the passenger train = 78.8 km/h - Distance covered by the passenger train in 1 hour = Speed * Time = 78.8 km/h * 1 hour = 78.8 km

Now, let's subtract the distances covered by the two trains from the total distance between the stations to find the remaining distance between them after 1 hour: - Total distance between Aktogay and Druzhba = 314.8 km - Remaining distance between the two trains after 1 hour = Total distance - Distance covered by the freight train - Distance covered by the passenger train

Let's calculate the remaining distance: - Remaining distance = 314.8 km - 55.4 km - 78.8 km = 180.6 km

Therefore, the distance between the two trains after 1 hour will be 180.6 km.