Question

из двух сел одновременно навстречу друг другу отправились велосипедист и пешеход. Пешеход шел со скоростью 3 км/ч, что в 4 раза меньше скорости велосипедиста. Найдите расстояние между селами, если велосипедист и пешеход встретиться через 3 часа после начала движения.

Answer 1

3 км /час скорость пешехода                                                                               3*4=12 км/час скорость велосипедиста                                                             3*3=9 км пройдет пешеход за 3 часа                                                                  12*3=36 км проедет велосипедист за 3 часа                                                       36+9=45 км расстояние между селами

Answer 2

Problem Analysis

We are given that a cyclist and a pedestrian start simultaneously from two villages and are moving towards each other. The pedestrian is walking at a speed of 3 km/h, which is 4 times slower than the speed of the cyclist. We need to find the distance between the villages if they meet after 3 hours.

Solution

Let's assume the speed of the cyclist is v km/h. Since the pedestrian is walking at a speed 4 times slower, their speed is 3 km/h.

We know that distance = speed × time.

After 3 hours, the cyclist will have covered a distance of 3v km (since speed × time = distance).

Similarly, the pedestrian will have covered a distance of 3 × 3 = 9 km.

Since they are moving towards each other, the total distance between the villages is the sum of the distances covered by the cyclist and the pedestrian.

Therefore, the distance between the villages is 3v + 9 km.

Now, we need to find the value of v.

From the given information, we know that the speed of the cyclist is 4 times faster than the pedestrian's speed. So, we can write the equation:

v = 4 × 3 = 12 km/h.

Substituting this value of v in the equation for distance, we get:

Distance = 3v + 9 = 3 × 12 + 9 = 36 + 9 = 45 km.

Therefore, the distance between the villages is 45 km.

Answer

The distance between the villages is 45 km.

Explanation

The cyclist and the pedestrian start simultaneously from two villages and are moving towards each other. After 3 hours, the cyclist will have covered a distance of 36 km, and the pedestrian will have covered a distance of 9 km. Therefore, the total distance between the villages is 36 + 9 = 45 km.