Question

Из двух сёл на встречу 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 растение между сёлами, если велосипедист и пешеход встретелись чернз 1,6 ч после начала движения.

Answer 1

1) 3,2 * 4,2 = 13,44 (км/ч) - скорость велосипедиста
2) 3,2 + 13,44 = 16,64 (км/ч) - скорость сближения
3) 16,64 * 1,6 = 26,664 (км)
Ответ: 26,624 км - расстояние между сёлами.

Answer 2

Problem Analysis

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

Solution

Let's assume the speed of the cyclist is v km/h. According to the given information, the speed of the pedestrian is 4.2 times slower than the speed of the cyclist. Therefore, the speed of the pedestrian is 3.2 km/h.

We know that the distance traveled by an object is equal to its speed multiplied by the time it takes to travel that distance. Let's denote the distance between the villages as d km.

The cyclist and the pedestrian meet after 1.6 hours. During this time, the cyclist travels a distance of v * 1.6 km, and the pedestrian travels a distance of 3.2 * 1.6 km.

Since they meet, the sum of the distances traveled by the cyclist and the pedestrian must be equal to the distance between the villages: v * 1.6 + 3.2 * 1.6 = d

To find the value of d, we need to express it in terms of v: d = v * 1.6 + 3.2 * 1.6

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

Calculation

Let's substitute the given values into the equation and solve for d:

d = v * 1.6 + 3.2 * 1.6

Substituting the value of the pedestrian's speed, which is 3.2 km/h:

d = v * 1.6 + 3.2 * 1.6

Simplifying the equation:

d = v * 1.6 + 5.12

Therefore, the distance between the villages is v * 1.6 + 5.12 km.

Answer

The distance between the villages is v * 1.6 + 5.12 km, where v is the speed of the cyclist in km/h.