Question

От станции в направлении посёлка расстояние до которого 22 км вышел пешеход со скоростью 4 км ч Через 2 часа навстречу ему из посёлка выехал велосипедист со скоростью 10 км ч Через сколько часов после своего выхода пешеход встретит велосипедиста ?

Answer 1

2*4=8 км -прошёл пешеход за 2 ч
22-8=14 км - прошел пешеход и проехал велосипедист 
14:10=1.4 ч - проехал велосипедист 
14:4=3.5 ч - прошел пешеход
3.5-1.4=2.1 ч - встретятся пешеход и велосипедист

Answer 2

Problem Analysis

We are given that a pedestrian walks at a speed of 4 km/h from a station towards a village, which is located 22 km away. After 2 hours, a cyclist leaves the village and rides towards the pedestrian at a speed of 10 km/h. 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 given by: distance_pedestrian = speed_pedestrian × t.

The distance covered by the cyclist in t hours is given by: distance_cyclist = speed_cyclist × t.

Since the pedestrian and the cyclist meet each other, the sum of their distances should be equal to the total distance between the station and the village: distance_pedestrian + distance_cyclist = 22 km.

Substituting the values, we have: 4t + 10t = 22.

Simplifying the equation, we get: 14t = 22.

Solving for t, we find: t = 22/14.

Calculating the value of t, we have: t ≈ 1.57 hours.

Therefore, it will take approximately 1.57 hours for the pedestrian to meet the cyclist.

Answer

The pedestrian will meet the cyclist approximately 1.57 hours after leaving the station.