Question

От станции в направлении посёлка, расстояние до которого 24 Километра, вышел пешеход со скоростью четыре километра в час.Через 2 часа навстречу ему из посёлка выехал велосипедист со скоростью 12 километров в час. Через сколько часов после своего выхода пешеход встретиться с велосипедистом?

Answer 1

1) d =v1*t1 =  4 км/ч * 2 ч = 8 км - прошел пешеход
2) S = 24 - 8 = 16 км - осталось
3)Vc = V1 + V2 = 4 + 12 = 16 км/ч - скорость сближения.
4)t2 = S :Vc = 16 км : 16 км/ч = 1 ч - время велосипедиста
5)  T = t1 + t2 = 2 + 1 = 3 ч - время пешехода - ОТВЕТ.

Answer 2

3 часа всё просто 
8*3 +12=24

Answer 3

Problem Analysis

We are given that a pedestrian starts walking from a station towards a village, which is 24 kilometers away, at a speed of 4 kilometers per hour. After 2 hours, a cyclist starts riding from the village towards the pedestrian at a speed of 12 kilometers per hour. We need to determine how many hours it will take for the pedestrian to meet the cyclist.

Solution

To solve this problem, we can use the formula: distance = speed × time.

Let's denote the time it takes for the pedestrian to meet the cyclist as t.

The distance covered by the pedestrian in t hours is 4t kilometers.

The distance covered by the cyclist in t - 2 hours is 12(t - 2) kilometers.

Since the total distance covered by both the pedestrian and the cyclist is equal to the distance between the station and the village (24 kilometers), we can set up the following equation:

4t + 12(t - 2) = 24

Simplifying the equation:

4t + 12t - 24 = 24

16t - 24 = 24

16t = 48

t = 3

Therefore, it will take the pedestrian 3 hours to meet the cyclist.

Answer

The pedestrian will meet the cyclist after 3 hours.

Explanation

After 2 hours, the pedestrian has covered a distance of 8 kilometers (4 kilometers per hour × 2 hours). At this point, the cyclist starts riding towards the pedestrian from the village. The cyclist's speed is 12 kilometers per hour, so in 1 hour, the cyclist covers a distance of 12 kilometers. Therefore, after 3 hours (2 hours + 1 hour), the pedestrian will have covered a distance of 12 kilometers, and the cyclist will have covered a distance of 12 kilometers as well. At this point, they will meet each other.