Question

Расстояние между двумя лыжниками 6 км 700 м. Одновременно начав движение Навстречу друг другу, они встретились через 20 минут. Выйдя в путь одновременно в одном направлении, второй лыжник через 20 минут отстала от первого на 300 м. Вычислите скорость каждого лыжника.

Answer 1

Представим, что X это расстояние, которое прошел второй лыжник, значит первый прошел X+300. X+300  потому что первый лыжник за 20 минут проходит на 300 метров больше чем второй, составляем уравнение:

X+X+300=6700

2X=6700-300

2X=6400

X+6400/2

X=3200 метров прошел второй лыжник

3200+300=3500 метров прошел первый лыжник

Узнаем скорость первого лыжника, который быстрее:

3500/20=175 м/мин

Скорость второго:

3200/20=160 м/мин

Answer 2

Problem Analysis

We are given that the distance between two skiers is 6 km 700 m. They start moving towards each other simultaneously and meet after 20 minutes. Then, one of the skiers starts moving in the same direction and falls 300 m behind the other skier after 20 minutes. We need to calculate the speed of each skier.

Solution

Let's assume the speed of the first skier is x m/min and the speed of the second skier is y m/min.

1. When they move towards each other, the total distance covered is 6 km 700 m. The time taken is 20 minutes. - The equation for the first scenario is: x * 20 + y * 20 = 6700.

2. When the second skier starts moving in the same direction, the distance between them increases by 300 m. The time taken is 20 minutes. - The equation for the second scenario is: (x - y) * 20 = 300.

We can solve these two equations to find the values of x and y.

Calculation

Let's solve the equations:

1. From the first equation, we have: x * 20 + y * 20 = 6700. - Simplifying, we get: 20x + 20y = 6700.

2. From the second equation, we have: (x - y) * 20 = 300. - Simplifying, we get: 20x - 20y = 300.

Now, we can solve these two equations simultaneously.

Adding the two equations, we get: 40x = 7000. - Dividing both sides by 40, we find: x = 175.

Substituting the value of x into the first equation, we get: 20 * 175 + 20y = 6700. - Simplifying, we find: 3500 + 20y = 6700. - Subtracting 3500 from both sides, we get: 20y = 3200. - Dividing both sides by 20, we find: y = 160.

Answer

The speed of the first skier is 175 m/min and the speed of the second skier is 160 m/min.

Note: The units for speed are in meters per minute.

References

- Source: ' - Calamo' - Source: ' ' - Source: ' - ' - Source: ' : ' - Source: ' : ...' - Source: 'Full text of " 6 (1957-1958)"' - Source: 'Untitled' - Source: ' ' - Source: ' ' - Source: ' ...'