Question

Из двух поселков выехали одновременно навстречу друг другу два всадника. первый ехал со скоростью 200м/мин а второй проезжал в минуту на 20м меньше . всадники встретились через 50мин. найди расстояние между поселками.

Answer 1

 скорость 2 всадника 200-20=180 м /мин
200+180= 380 м мин скорость сближения
380*50=19000 м расстояние между поселками

Answer 2

Calculation of the Distance Between the Villages

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

Distance = Speed x Time

Let's calculate the distance using the given information:

- The first rider traveled at a speed of 200 m/min. - The second rider traveled at a speed 20 m/min less than the first rider. - The riders met after 50 minutes.

Let's calculate the distance traveled by each rider:

- The first rider traveled at a speed of 200 m/min for 50 minutes, so the distance traveled by the first rider is 200 m/min x 50 min = 10,000 meters.

- The second rider traveled at a speed 20 m/min less than the first rider, which is 200 m/min - 20 m/min = 180 m/min. The second rider also traveled for 50 minutes, so the distance traveled by the second rider is 180 m/min x 50 min = 9,000 meters.

Now, let's find the distance between the villages by subtracting the distance traveled by the second rider from the distance traveled by the first rider:

Distance between the villages = Distance traveled by the first rider - Distance traveled by the second rider = 10,000 meters - 9,000 meters = 1,000 meters.

Therefore, the distance between the two villages is 1,000 meters.

Answer 3

Problem Analysis

Two riders from two different villages set out to meet each other. The first rider travels at a speed of 200 m/min, while the second rider travels 20 m/min slower. They meet after 50 minutes. We need to find the distance between the villages.

Solution

Let's denote the speed of the second rider as x m/min. Then, the speed of the first rider can be expressed as (x + 20) m/min.

The total distance covered by the first rider is 200 * 50 m, and the total distance covered by the second rider is (x * 50) m.

Given that they meet after 50 minutes, we can set up the equation: 200 * 50 + x * 50 = D, where D is the distance between the villages.

Calculation

Solving for D: 200 * 50 + x * 50 = D 10000 + 50x = D

We also know that the second rider's speed is 20 m/min slower than the first rider's speed: x = 200 - 20 x = 180

Substitute x = 180 into the equation: 10000 + 50 * 180 = D 10000 + 9000 = D 19000 = D

Answer

The distance between the villages is 19000 meters.