Question

Одновременно из двух сел,расстояние между которыми равно 36 км,отправились в путь навстречу друг другу велосипедист и пешеход.Через 2 часа пути они встретились.Определите скорость пешехода,если скорость велосипедиста 12 км/ч

Answer 1

Problem Analysis

We are given that a cyclist and a pedestrian start simultaneously from two different villages, which are 36 km apart. After 2 hours of travel, they meet each other. We need to determine the speed of the pedestrian, given that the speed of the cyclist is 12 km/h.

Solution

Let's assume the speed of the pedestrian is v km/h.

To solve this problem, we can use the formula: distance = speed × time.

The cyclist travels for 2 hours at a speed of 12 km/h, so the distance traveled by the cyclist is: distance_cyclist = 12 km/h × 2 h = 24 km.

The pedestrian also travels for 2 hours, so the distance traveled by the pedestrian is: distance_pedestrian = v km/h × 2 h = 2v km.

Since they meet each other after 2 hours, the sum of their distances should be equal to the total distance between the villages, which is 36 km: distance_cyclist + distance_pedestrian = 36 km.

Substituting the values we calculated earlier, we get: 24 km + 2v km = 36 km.

Simplifying the equation, we have: 2v km = 36 km - 24 km, 2v km = 12 km.

Finally, we can solve for v by dividing both sides of the equation by 2: v km = 12 km / 2, v km = 6 km/h.

Therefore, the speed of the pedestrian is 6 km/h.

Answer

The speed of the pedestrian is 6 km/h.