Question

Помогите решить задачу. От станции в направлении посёлка расстояние до которого 24 км,вышел пешехо . Со скоростью 4км\ч.через 2 часа навстречу ему из посёлка выехал велосипидист со скоростью 12км\ч.через сколько часов после своего выхода пешеход встретит велосипидиста?

Answer 1

4*2=8 км- прошел пешеход
24-8=16 расстояние которое будут вместе проходить и пешеход и велосипедист
4+12=16 км/ч - скорость сближения
16:16=1 ч - через 1 час они встретятся
2+1=3 ч - пешеход встретит велосипедиста

Answer 2

Problem Analysis

We are given that a pedestrian starts walking from a station towards a village, which is 24 km away. The pedestrian is walking at a speed of 4 km/h. After 2 hours, a cyclist starts riding from the village towards the pedestrian at a speed of 12 km/h. We need to determine how many hours after the pedestrian starts walking they will meet the cyclist.

Solution

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

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 km, and the distance covered by the cyclist in 't' hours is 12t km.

Since they meet when the sum of their distances is equal to the total distance between the station and the village (24 km), we can set up the equation:

4t + 12t = 24

Simplifying the equation, we get:

16t = 24

Dividing both sides by 16, we find:

t = 24 / 16 = 1.5 hours

Therefore, the pedestrian will meet the cyclist 1.5 hours after they start walking.

Answer

The pedestrian will meet the cyclist 1.5 hours after they start walking.