Question

Товарный и пассажирский поезда движутся в противоположных направлениях удаляясь друг от друга. Скорость товарного поезда 43 км/ч а скорость пассажирского поезда на 25 км/ч больше. Сейчас между ними 100 км. Какое расстояние будет между ними через 2,5 ч?

Answer 1

1) 43+25=68 км/ч - скорость пассажирского
2) 43+68=111 км/ч - скорость удаления
3) 111*2,5=277,5 км - удалятся друг от друга за 2,5 часа
4) 277,5+100=377,5 км - будет между ними

Answer 2

Problem Analysis

We are given the speeds of a freight train and a passenger train moving in opposite directions and the initial distance between them. We need to find the distance between them after a given time.

Given Information

- Speed of the freight train: 43 km/h - Speed of the passenger train: 25 km/h more than the freight train - Initial distance between the trains: 100 km - Time: 2.5 hours

Solution

To find the distance between the trains after 2.5 hours, we need to calculate the total distance covered by both trains in that time.

Let's calculate the distance covered by each train: - Distance covered by the freight train = Speed of the freight train * Time - Distance covered by the passenger train = Speed of the passenger train * Time

Since the speed of the passenger train is 25 km/h more than the freight train, we can calculate the speed of the passenger train as the sum of the freight train's speed and 25 km/h.

Let's calculate the distances covered by each train: - Distance covered by the freight train = 43 km/h * 2.5 hours - Distance covered by the passenger train = (43 km/h + 25 km/h) * 2.5 hours

Now, let's calculate the total distance between the trains after 2.5 hours: - Total distance = Initial distance - (Distance covered by the freight train + Distance covered by the passenger train)

Substituting the values: - Total distance = 100 km - (43 km/h * 2.5 hours + (43 km/h + 25 km/h) * 2.5 hours)

Let's calculate the total distance between the trains after 2.5 hours.