Question

Два всадника одновременно поскокали навстречу друг другу из двух кишлаков . Первый всадник покрыл за 2/3 часа - 12 км(километров) , второй за 3/4 часа - 15 км. найдите расстояние между кишлаками , если они встретились через 2 1/2 .

Answer 1

2/3×v1=12
v1=18

3/4×v2=15
v2=20

S=(20+18)×5/2=95

Answer 2

Problem Analysis

We are given that two riders start simultaneously from two different villages and meet after 2 1/2 hours. The first rider covers a distance of 12 km in 2/3 hours, and the second rider covers a distance of 15 km in 3/4 hours. We need to find the distance between the two villages.

Solution

Let's assume the distance between the two villages is x km.

The first rider covers a distance of 12 km in 2/3 hours. Therefore, their speed can be calculated as: Speed of the first rider = Distance / Time = 12 km / (2/3) hours = 12 km * (3/2) hours = 18 km/h. Similarly, the second rider covers a distance of 15 km in 3/4 hours. Therefore, their speed can be calculated as: Speed of the second rider = Distance / Time = 15 km / (3/4) hours = 15 km * (4/3) hours = 20 km/h. Since both riders meet after 2 1/2 hours, we can calculate the total distance covered by each rider: Distance covered by the first rider = Speed * Time = 18 km/h * 2.5 hours = 45 km. Distance covered by the second rider = Speed * Time = 20 km/h * 2.5 hours = 50 km.

The sum of the distances covered by both riders should be equal to the distance between the two villages: Distance covered by the first rider + Distance covered by the second rider = Distance between the villages 45 km + 50 km = x km 95 km = x km

Therefore, the distance between the two villages is 95 km.

Answer

The distance between the two villages is 95 km.

References

'Zvezda #3 2013.indd' - snippet: ``` , , , , .```