Question

Реши задачи.Два поезда идут навстречу друг другу со станций, расстояние между которыми 385 км. Первый поезд вышел на 2 ч. раньше со скоростью 53 км/ч. Поезда встретились через 3 ч. после выхода второго поезда. Найди скорость второго поезда.

Answer 1

2+3=5(ч)-скорость первого

5*53=265(км)-проехал первый поезд 

385-265=120(км)-проехал второй поезд

120/3=40(км/ч)-скорость второго поезда

Ответ: 40 км/ч

Answer 2

Problem Analysis

We are given two trains traveling towards each other from two different stations. The distance between the stations is 385 km. The first train started 2 hours earlier than the second train and has a speed of 53 km/h. The trains meet after 3 hours of the second train's departure. We need to find the speed of the second train.

Solution

Let's assume the speed of the second train is x km/h.

The first train has been traveling for 2 hours longer than the second train, so the time traveled by the first train is (3 + 2) = 5 hours.

Using the formula distance = speed × time, we can calculate the distance traveled by each train.

For the first train: distance = speed × time = 53 km/h × 5 hours = 265 km.

For the second train: distance = speed × time = x km/h × 3 hours.

Since the total distance between the two stations is 385 km, we can write the equation: distance of the first train + distance of the second train = total distance.

Substituting the values, we get: 265 km + (x km/h × 3 hours) = 385 km.

Simplifying the equation, we have: 3x + 265 = 385.

Solving for x, we get: 3x = 385 - 265, 3x = 120, x = 120 / 3, x = 40.

Therefore, the speed of the second train is 40 km/h.

Answer

The speed of the second train is 40 km/h.