Question

Помогите с задачей Из двух сёл навстречу друг другу одновременно начали движение велосипедист и пешеход.Пешеход шёл со скоростью 3,2 км/ч ,что в 4,2 раза меньше скорости велосипедиста.Найдите расстояние между сёлами , если велосипедист и пешеход встретились через 1,6 ч после начала движения.ДАМ 15 БАЛЛОВ!!!!!!!!!!!!!!!

Answer 1

Найдем скорость велосипедиста
3,2*4,2=13,44 км/ч
найдем скорость их сближения
3,2+13,44=16,64 км/ч
найдем расстояние между населенными пунктами
16,64*1,6=26,624 км

Answer 2

Problem Analysis

We are given that a cyclist and a pedestrian start moving towards each other from two villages simultaneously. The pedestrian's speed is 3.2 km/h, which is 4.2 times slower than the cyclist's speed. We need to find the distance between the villages if they meet after 1.6 hours.

Solution

Let's assume the speed of the cyclist is x km/h. According to the problem, the pedestrian's speed is 4.2 times slower than the cyclist's speed, so the pedestrian's speed is 3.2 km/h.

To find the distance between the villages, we can use the formula:

Distance = Speed × Time

The cyclist and the pedestrian meet after 1.6 hours, so the time is 1.6 hours.

Let's calculate the distance using the formula:

Distance = (Cyclist's Speed × Time) + (Pedestrian's Speed × Time)

Distance = (x km/h × 1.6 h) + (3.2 km/h × 1.6 h)

Simplifying the equation:

Distance = 1.6x + 1.6 × 3.2

Now, we can solve the equation to find the value of x and then calculate the distance.

Calculation

Let's calculate the distance between the villages.

Distance = 1.6x + 1.6 × 3.2

Substituting the given values:

Distance = 1.6x + 1.6 × 3.2

Distance = 1.6x + 5.12

Now, we need to find the value of x. To do that, we can use the information that the pedestrian's speed is 4.2 times slower than the cyclist's speed.

Pedestrian's Speed = 4.2 × Cyclist's Speed

Substituting the given values:

3.2 km/h = 4.2 × x km/h

Simplifying the equation:

3.2 km/h = 4.2x km/h

Now, we can solve the equation to find the value of x.

Solution Continued

Let's solve the equation to find the value of x.

3.2 km/h = 4.2x km/h

Dividing both sides of the equation by 4.2:

0.76 = x

Now, we have the value of x. Let's substitute it back into the distance equation to find the distance between the villages.

Distance = 1.6x + 5.12

Substituting the value of x:

Distance = 1.6 × 0.76 + 5.12

Calculating the distance:

Distance = 1.216 + 5.12

Distance = 6.336 km

Therefore, the distance between the villages is 6.336 km.

Answer

The distance between the villages, given that the cyclist and the pedestrian meet after 1.6 hours, is 6.336 km.

Note: The sources provided did not contain relevant information for this specific problem.