Question

Из 2х поселков выехали одновременно на встречу друг другу два всадника первый ехал со скоростью 200м/мин,а второй проезжал в минуту на 20минут меньше. всадники встретились через 50 минут. найди растояние между поселками

Answer 1

200-20=180м/ мин скорость второго всадника

200+180=380 м/мин-скорость сближения

380*50=19000м=19км между поселками

Answer 2

200-2=180м/мин
200*5=10000м=10км
180*50=9000м=9км
10+9=19-расстояние между посёлками

Answer 3

Calculating the Distance Between the Villages

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

Distance = Speed × Time

Let's denote: - Speed of the first rider as S1 (200 m/min) - Speed of the second rider as S2 - Time taken by the second rider as T (in minutes)

Given that the second rider took 20 minutes less than the first rider, we can express the time taken by the second rider as T - 20.

The total time taken for the riders to meet is 50 minutes.

Using the formula, we can set up the equation: 200 × 50 = 200(T - 20) + 200T

Solving for T will give us the time taken by the second rider, and then we can calculate the distance between the villages.

Calculations

Using the given formula and the values provided: 200 × 50 = 200(T - 20) + 200T

Solving for T: 10000 = 200T - 4000 + 200T 10000 = 400T - 4000 14000 = 400T T = 35 minutes

Now that we have the time taken by the second rider, we can calculate the distance between the villages using the speed and time.

Distance Calculation

Distance = Speed × Time Distance = 200 × 35 Distance = 7000 meters

Therefore, the distance between the two villages is 7000 meters.