Question

из пункта а и в отправляются одновременно навстречу друг другу два поезда, причем скорость одного на 5 км/ч больше скорости другого.через 2ч поезда,еще не встретившись, находились на растоянии 30 км рдруг тот друга. найдите скорость поездов, если растроянияе междку пунктами а и в равно 380км. Пожалуста помогите!

Answer 1

Problem Analysis

We are given two trains traveling towards each other from points A and B. The distance between points A and B is 380 km. After 2 hours, the trains are still 30 km apart and have not yet met. We need to find the speeds of the trains.

Let's assume the speed of one train is x km/h. According to the problem, the speed of the other train is 5 km/h more than the first train. So, the speed of the second train is (x + 5) km/h.

Calculation

To find the speeds of the trains, we can use the formula:

Distance = Speed × Time

For the first train: Distance = x km/h × 2 h = 2x km

For the second train: Distance = (x + 5) km/h × 2 h = 2(x + 5) km

According to the problem, after 2 hours, the trains are 30 km apart. So, we can set up the following equation:

2x + 2(x + 5) = 380 + 30

Simplifying the equation:

2x + 2x + 10 = 410

4x + 10 = 410

4x = 400

x = 100

Therefore, the speed of the first train is 100 km/h, and the speed of the second train is (100 + 5) = 105 km/h.

Answer

The speed of the first train is 100 km/h, and the speed of the second train is 105 km/h.