Question

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

Answer 1

1) 53*2=106(км)-прошел первый поезд до выхода второго
2) 385-106=279(км)-прошли поезда вместе
3) 279:3=93(км/ч)-скорость сближения поездов
4) 93-53=40(км/ч)-скорость второго поезда

Answer 2

Problem Analysis

We are given two trains traveling towards each other from two different stations. The distance between the stations is 385 kilometers. The first train started 2 hours earlier and is traveling at a speed of 53 km/h. The trains meet after 3 hours from the time the second train started. 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 started 2 hours earlier and traveled for a total of 3 + 2 = 5 hours. The distance traveled by the first train is the product of its speed and time: 53 km/h * 5 h = 265 km. The total distance between the two trains is 385 km. Since the trains are traveling towards each other, the sum of the distances traveled by both trains should be equal to the total distance between them.

Let's set up an equation to solve for the speed of the second train:

Distance traveled by the second train = Total distance - Distance traveled by the first train Distance traveled by the second train = 385 km - 265 km = 120 km

The speed of the second train is x km/h, and the time it traveled is 3 hours. So, the distance traveled by the second train is the product of its speed and time: x km/h * 3 h = 3x km.

Setting up the equation: 3x km = 120 km

To find the value of x, we divide both sides of the equation by 3: x km = 120 km / 3 x km = 40 km/h

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