Question

из пунктов A и B вышли одновременно навстречу друг другу два пешехода их встречи произошла в 10 ч . Пешеход вышедший из A прошел до встречи на 2 км больше. Продолжая путь он прибыл в B в 10 ч 40 мин. Второй пешеход прибыл в A в 11 ч 30 мин. Найдите расстояние от A и B. помогите пожалуйста

Answer 1

пусть скорость первого пешехода ( из А) - v1, а второго - v2. Точка встречи - X

Тогда из условия одновременности выхода : AX/v1=BX/v2

Известно также:  v1*2/3= BX и v2*1.5= AX     - (40мин и 1,5часа)

                              AX-BX= 2

Объединя все условия решаем простую систему 2AX=3Bx

                                                                                    AX-BX=2

Откуда BX = 4, AX = 6

AB = 10

Answer 2

Problem Analysis

We have two pedestrians, one starting from point A and the other from point B. They start walking towards each other simultaneously. The pedestrian who starts from point A walks 2 km more than the other pedestrian before they meet. The first pedestrian arrives at point B at 10:40 AM, while the second pedestrian arrives at point A at 11:30 AM. We need to find the distances between points A and B.

Solution

Let's assume the distance between points A and B is x km. Since the first pedestrian walks 2 km more than the second pedestrian before they meet, the distance covered by the first pedestrian is x + 2 km.

We can calculate the time taken by the first pedestrian to reach point B using the formula: time = distance / speed

The time taken by the first pedestrian to reach point B is 40 minutes, which is equal to 2/3 of an hour. So, we have: (x + 2) / speed = 2/3 Similarly, we can calculate the time taken by the second pedestrian to reach point A using the formula: time = distance / speed

The time taken by the second pedestrian to reach point A is 1 hour and 30 minutes, which is equal to 3/2 of an hour. So, we have: x / speed = 3/2 Now, we can solve these two equations to find the value of x.

Calculation

Let's solve the equations and to find the value of x.

From equation (x + 2) / speed = 2/3

From equation x / speed = 3/2

We can rewrite equation as: x = (3/2) * speed Substituting equation into equation we get: ((3/2) * speed + 2) / speed = 2/3

Simplifying the equation: 3 * ((3/2) * speed + 2) = 2 * speed

Expanding and simplifying further: 9/2 * speed + 6 = 2 * speed

Bringing all the terms involving speed to one side: 9/2 * speed - 2 * speed = -6

Simplifying: -5/2 * speed = -6

Dividing both sides by -5/2: speed = -6 / (-5/2)

Simplifying: speed = 12/5

Now, we can substitute the value of speed back into equation to find the value of x: x = (3/2) * (12/5)

Simplifying: x = 18/5

Therefore, the distance between points A and B is 18/5 km.

Answer

The distance from point A to point B is 18/5 km.