Question

Из пунктов А и В, расстояние между которыми 4,2 км, вышли одновременно навстречу друг другу два пешехода. При встрече оказалось, что путь, пройденный первым пешеходом, составляет 10/11 пути, пройденного вторым пешеходом. Через сколько часов после выхода они встретились, если скорость второго пешехода 5,5 км/ч? ПРОШУ ВАС ПОМОГИТЕ МНЕ РЕШИТЬ ЭТУ ЗАДАЧУ!!! ПОЖАЛУЙСТА ПОМОГИТЕ МНЕ!!! СРОЧНО!!! БУДУ ОЧЕНЬ-ОЧЕНЬ ВАМ БЛАГОДАРНА!!!!!!

Answer 1

Пусть второй пешеход прошел х км, тогда первый прошел 10/11 х. Составим уравнение:
х + 10/11 х = 4,2
21/11 х = 4,2
х = 4,2 : 21/11 
х = 4,2 * 11/21
х = 2,2
2,2 км прошел второй пешеход

2,2 : 5,5 =  0,4 (час.)

Ответ. через 0,4 часа.

Answer 2

Problem Analysis

We have two pedestrians, A and B, who start walking towards each other from points A and B, respectively. The distance between points A and B is 4.2 km. We are given that the second pedestrian, B, walks at a speed of 5.5 km/h. We need to determine how many hours it takes for the pedestrians to meet.

Solution

Let's assume that the time it takes for the pedestrians to meet is t hours. We can use the formula `distance = speed * time` to calculate the distances traveled by each pedestrian.

The distance traveled by the first pedestrian, A, is `(10/11) * distance`, where `distance` is the total distance between A and B.

The distance traveled by the second pedestrian, B, is `speed * time`, where `speed` is the speed of B.

Since the pedestrians are walking towards each other, the sum of their distances traveled should be equal to the total distance between A and B.

Let's calculate the distances traveled by each pedestrian and set up an equation to solve for t.

Calculation

The distance between A and B is given as 4.2 km.

The distance traveled by pedestrian A is `(10/11) * 4.2 km`.

The distance traveled by pedestrian B is `5.5 km/h * t hours`.

Setting up the equation:

`(10/11) * 4.2 km + 5.5 km/h * t hours = 4.2 km`

Now we can solve this equation to find the value of t.

Solution

To solve the equation, we can start by simplifying the equation:

`(10/11) * 4.2 km + 5.5 km/h * t hours = 4.2 km`

Simplifying the left side of the equation:

`(10/11) * 4.2 km + 5.5 km/h * t hours = 4.2 km`

`(10/11) * 4.2 km = 4.2 km - 5.5 km/h * t hours`

`3.818181818181818 km = 4.2 km - 5.5 km/h * t hours`

Now we can isolate t by subtracting `4.2 km` from both sides of the equation:

`3.818181818181818 km - 4.2 km = -5.5 km/h * t hours`

`-0.381818181818182 km = -5.5 km/h * t hours`

Next, we can solve for t by dividing both sides of the equation by `-5.5 km/h`:

`-0.381818181818182 km / -5.5 km/h = t hours`

`t hours = 0.06951219512195122 h`

Therefore, it takes approximately 0.0695 hours, or about 4.17 minutes, for the pedestrians to meet.

Answer

The pedestrians will meet approximately 4.17 minutes after they start walking.

Please note that the above solution assumes a constant speed for both pedestrians throughout their journey.