Question

Два поезда ехали с одинаковой скоростью. Первый проехал 4 ч, а второй - 7 ч. Второй проехал на 138 км больше. Какое расстояние прошел каждый поезд?

Answer 1

V- скорость

4V+138=7V

7V-4V=138

3V=138

V=46 скорость каждого поезда

46*4=184 км - путь первого поезда

46*7=322км путь второго поезда

 

 

Answer 2

Problem Analysis

We are given two trains that traveled at the same speed. The first train traveled for 4 hours, while the second train traveled for 7 hours. The second train traveled 138 km more than the first train. We need to find the distance traveled by each train.

Solution

Let's assume that the speed of both trains is x km/h.

The distance traveled by the first train can be calculated using the formula: distance = speed × time. Therefore, the distance traveled by the first train is 4x km.

The distance traveled by the second train can also be calculated using the same formula: distance = speed × time. Therefore, the distance traveled by the second train is 7x km.

We are given that the second train traveled 138 km more than the first train. So, we can set up the following equation:

7x = 4x + 138

To solve this equation, we can subtract 4x from both sides:

7x - 4x = 138

Simplifying the equation, we get:

3x = 138

Now, we can solve for x by dividing both sides of the equation by 3:

x = 138 / 3

Calculating the value of x, we find:

x = 46

Therefore, the speed of both trains is 46 km/h.

Now, we can calculate the distance traveled by each train:

- The distance traveled by the first train is 4x = 4 * 46 = 184 km. - The distance traveled by the second train is 7x = 7 * 46 = 322 km.

Answer

The first train traveled a distance of 184 km, and the second train traveled a distance of 322 km.