Question

Из двух городов одновременно навстречу друг другу выехали два поезда. Какую часть всего пути составит расстояние между поездами через час с момента их выезда, если первый поезд про- ходит весь путь за 4 ч, а второй за 6 ч?​

Answer 1

Ответ:

1) 1/4 часть пути проходит 1 поезд за час

2) 1/6 часть пути проходит второй поезд за час

3)1/4+1/6 = 3/12+2/12=5/12 (части) пути они проедут за час вместе

4) 1-5/12=7/12 (части пути)

Ответ: между ними будет 7/12 всего пути.

Answer 2

Problem Analysis

We have two trains that start simultaneously from two different cities and are moving towards each other. The first train completes the entire journey in 4 hours, while the second train completes it in 6 hours. We need to find the distance between the trains after 1 hour from the time they started.

Solution

To find the distance between the trains after 1 hour, we need to calculate the distance each train has traveled in 1 hour.

Let's assume the distance between the two cities is D.

The first train travels the entire distance D in 4 hours. Therefore, its speed is D/4 units per hour.

The second train also travels the entire distance D in 6 hours. Therefore, its speed is D/6 units per hour.

After 1 hour, the first train will have traveled (D/4) * 1 = D/4 units.

After 1 hour, the second train will have traveled (D/6) * 1 = D/6 units.

The distance between the two trains after 1 hour will be the difference between the distances traveled by the two trains:

Distance between the trains after 1 hour = (D/4) - (D/6) = D/12

Therefore, the distance between the trains after 1 hour is D/12.

Answer

The distance between the two trains after 1 hour from the time they started will be D/12.