Question

Помогите с задачей и решение От станции в направление посёлка, расстояние до которого 22км, вышел пешеход со скоростью 4 км/ч. Через 2 часа навстречу выехал велосипедист со скоростью 10км/ч . Через сколько часов ПОСЛЕ ВЫХОДА ПЕШЕХОД встретит велосипедиста.

Answer 1

Скорость сближения пешехода и велосипедиста равна : 4 + 10 = 14 км/ч
Пешеход встретит велосипедиста после выхода через : 2 + (22 - 4*2) / 14 = 
2 + (22 - 8) / 14 = 2 + 14 / 14 = 3 часа

Answer 2

Problem Analysis

We are given that a pedestrian starts walking from a station towards a village, which is 22 km away, at a speed of 4 km/h. After 2 hours, a cyclist starts riding towards the pedestrian at a speed of 10 km/h. We need to find out how many hours after the pedestrian starts walking they will meet the cyclist.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed between the pedestrian and the cyclist is the sum of their individual speeds. In this case, the relative speed is 4 km/h + 10 km/h = 14 km/h.

Let's assume that the time it takes for the pedestrian to meet the cyclist is t hours. During this time, the pedestrian would have covered a distance of 4 km/h * t, and the cyclist would have covered a distance of 10 km/h * t. Since they meet when the sum of their distances is equal to the total distance between the station and the village (22 km), we can set up the following equation:

4 km/h * t + 10 km/h * t = 22 km

Simplifying the equation, we get:

14 km/h * t = 22 km

Now, we can solve for t by dividing both sides of the equation by 14 km/h:

t = 22 km / 14 km/h

Calculation

Let's calculate the value of t:

t = 22 km / 14 km/h

Using the given values, we can calculate:

t = 1.5714 hours

Answer

Therefore, the pedestrian will meet the cyclist approximately 1.5714 hours after the pedestrian starts walking.