Question

из двух посёлков выехали одновременно навстречу друг другу два всадника. Первый ехал со скоростью 200м\мин, а второй проезжал в минуту на 20м меньше.Всадники встретились через 50 мин. найди расстояние между посёлками. Помогите решить

Answer 1

Problem Analysis

We are given that two riders start simultaneously from two villages and ride towards each other. The first rider travels at a speed of 200 m/min, while the second rider travels 20 m/min slower than the first rider. They meet after 50 minutes. We need to find the distance between the two villages.

Solution

Let's assume the distance between the two villages is d meters.

The first rider travels at a speed of 200 m/min, so in 50 minutes, the first rider covers a distance of 200 * 50 = 10000 meters.

The second rider travels at a speed 20 m/min slower than the first rider, so the second rider's speed is 200 - 20 = 180 m/min. In 50 minutes, the second rider covers a distance of 180 * 50 = 9000 meters.

Since they meet after 50 minutes, the total distance covered by both riders is equal to the distance between the two villages. Therefore, we can write the equation:

d = 10000 + 9000

Simplifying the equation:

d = 19000 meters

Answer

The distance between the two villages is 19000 meters.