Question

Два поезда отправились одновременно навстречу друг другу от двух станций, расстояние между которыми один поезд проходит за 24 минуты , а второй за 36 минут. На какую часть этого расстояния сблизятся поезда за первые 6 минут? Помогите пожалуйста!Заранее спасибо.

Answer 1

Один поезд проходит за минуту 1/24 пути, а другой за ту же минуту 1/36 пути. За шесть минут первый пройдёт 6/24 , а второй 6/36 . 6/24+6/36= 5/12

Ответ: на 5/12 пути сблизятся поезда.

Answer 2

Problem Analysis

We have two trains traveling towards each other from two different stations. The first train covers the distance between the stations in 24 minutes, while the second train covers the same distance in 36 minutes. We need to determine what fraction of the total distance the trains will cover in the first 6 minutes.

Solution

To solve this problem, we need to calculate the distances covered by each train in the first 6 minutes and then find the fraction of the total distance covered.

Let's denote the distance between the two stations as D.

The first train covers the distance D in 24 minutes, so its speed is D/24 units per minute.

Similarly, the second train covers the distance D in 36 minutes, so its speed is D/36 units per minute.

In the first 6 minutes, the first train will cover (D/24) * 6 units of distance, and the second train will cover (D/36) * 6 units of distance.

To find the fraction of the total distance covered, we need to sum the distances covered by both trains and divide it by the total distance D.

Let's calculate the distances covered by each train in the first 6 minutes:

Distance covered by the first train: (D/24) * 6

Distance covered by the second train: (D/36) * 6

To find the fraction of the total distance covered, we need to sum these distances and divide by the total distance D:

Fraction = [(D/24) * 6 + (D/36) * 6] / D

Simplifying the expression:

Fraction = [(D/4) + (D/6)] / D

Fraction = (3D + 2D) / (12D)

Fraction = 5D / 12D

Fraction = 5/12

Therefore, the trains will cover 5/12 of the total distance in the first 6 minutes.

Answer

The trains will cover 5/12 of the total distance in the first 6 minutes.