Question

Срочно дам 20 баллов а потом еще 10 сверху ПОЯСНЕНИЕ ОБЕЗАТЕЛЬНО+. ромео и джульетта поссорились Джульетта начинает идти на восток а ромео на запад через 4 минуты ромео поворачивает обратно и начинает бежать за джульеттой через 2 минуты он оказывается на месте где они расстались ,Ромео бегает в три раза быстрее чем ходит джульетта через какое время он догонит её начиная с момента поворота?​​

Answer 1

Ответ:

1 мин. 20 сек.

Пошаговое объяснение:

4 минуты = 240 секунд

1)240 : 3=80 (секунд)

2)80 = 1 мин. 20 сек.

Answer 2

Problem Analysis

In this problem, Romeo and Juliet have had an argument and have started moving in opposite directions. Juliet is moving east, while Romeo is moving west. After 4 minutes, Romeo changes his direction and starts running after Juliet. Romeo runs three times faster than Juliet walks. We need to determine how long it will take for Romeo to catch up to Juliet starting from the moment he changes his direction.

Solution

To solve this problem, we need to calculate the time it takes for Romeo to catch up to Juliet. Let's break down the problem step by step:

1. Juliet walks for 4 minutes in the east direction. 2. Romeo turns back and starts running after Juliet. 3. Romeo runs three times faster than Juliet walks.

To find the time it takes for Romeo to catch up to Juliet, we need to calculate the distance between them and divide it by the relative speed of Romeo compared to Juliet.

Let's assume that Juliet's walking speed is represented by x units per minute. Therefore, Romeo's running speed is 3x units per minute.

Since Juliet walks for 4 minutes before Romeo starts running, the distance between them at that point is 4x units.

Now, let's calculate the time it takes for Romeo to catch up to Juliet:

1. Romeo runs for t minutes. 2. During this time, Juliet walks for 4 + t minutes. 3. The distance Romeo runs is 3x * t units. 4. The distance Juliet walks is x * (4 + t) units.

Since Romeo catches up to Juliet when they are at the same position, we can set up the equation:

3x * t = x * (4 + t)

Simplifying the equation:

3x * t = 4x + x * t

3x * t - x * t = 4x

2x * t = 4x

Dividing both sides by 2x:

t = 2

Therefore, it will take Romeo 2 minutes to catch up to Juliet starting from the moment he changes his direction.

Answer

Romeo will catch up to Juliet starting from the moment he changes his direction in 2 minutes.