Question

Решить задачу с двух станций,расстояние между которыми 340км ,одновременно выехали навстречу друг другу 2 поезда.Скорость первого больше скорости второго на 5 км/ч.Найдите их скорости,если известно,что через 2 часа после того,как они выехали,расстояние составляло 30км

Answer 1

Problem Analysis

We have two trains traveling towards each other from two different stations. The distance between the stations is 340 km. The first train is traveling at a speed that is 5 km/h faster than the second train. After 2 hours of traveling, the distance between the trains is 30 km. We need to find the speeds of both trains.

Solution

Let's assume the speed of the second train is x km/h. Since the speed of the first train is 5 km/h faster, the speed of the first train will be (x + 5) km/h.

After 2 hours of traveling, the distance covered by the first train will be (x + 5) * 2 km and the distance covered by the second train will be x * 2 km. The sum of these distances should be equal to the total distance between the stations, which is 340 km.

So, we can set up the following equation:

(x + 5) * 2 + x * 2 = 340

Simplifying the equation:

2x + 10 + 2x = 340

4x + 10 = 340

4x = 330

x = 82.5

Therefore, the speed of the second train is 82.5 km/h and the speed of the first train is (82.5 + 5) = 87.5 km/h.

Answer

The speed of the second train is 82.5 km/h and the speed of the first train is 87.5 km/h.