Question

С лыжной базы выехал лыжник.Через час с той же самой базы в противоположном направлении вышел другой лыжник со скоростью 8 км/ч.через 2ч после выхода второго лыжника расстояние между ними стало 43 км.Найти скорость первого лыжника?.решить действиями пожалуйста с пояснениями

Answer 1

1. Найдем расстояние, которое прошел второй лыжник за 2 часа
8 км/ч * 2 ч = 16 км
2. Найдем расстояние, которое прошел первый лыжник за 3 часа
43 км - 16 км = 27 км
3. Найдем скорость первого лыжника
27 км / 3 ч = 9 км/ч
Проверка:
9 км/ч * 3 ч + 8 км/ч * 2 ч = 27 км + 16 км = 43 км

Answer 2

Problem Analysis

We have two skiers who start from the same ski base. One skier travels in one direction, while the other skier travels in the opposite direction. After 2 hours, the distance between them is 43 km. We need to find the speed of the first skier.

Solution

Let's assume the speed of the first skier is x km/h.

The first skier has been skiing for 3 hours (1 hour before the second skier started and 2 hours after). Therefore, the distance covered by the first skier is 3x km.

The second skier has been skiing for 2 hours at a speed of 8 km/h. Therefore, the distance covered by the second skier is 2 * 8 = 16 km.

The total distance between the skiers is 43 km. So, we can set up the following equation:

3x + 16 = 43

Now, let's solve this equation to find the value of x.

Calculation

Subtracting 16 from both sides of the equation:

3x = 43 - 16

Simplifying:

3x = 27

Dividing both sides of the equation by 3:

x = 27 / 3

Simplifying:

x = 9

Answer

Therefore, the speed of the first skier is 9 km/h.

Please let me know if I can help you with anything else.