Question

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 3 раза быстрее, чем ходит Джульетта. Через какое время он догонит её, начиная с момента поворота? ПОМОГИТЕ ПОЖАЛУЙСТА, СРОЧНО!!!

Answer 1

1 мин. 20 сек.

—

4 минуты = 240 секунд

240 : 3=80 (секунд)

80 секунд = 1 мин. 20 сек.

Answer 2

Problem Analysis

In this problem, Romeo and Juliet have a disagreement and start moving in opposite directions. Juliet starts moving east, while Romeo starts moving west. After 4 minutes, Romeo changes his direction and starts running after Juliet. It is given that 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

Let's assume that Juliet's walking speed is represented by x units per minute. Since Romeo runs three times faster than Juliet, his running speed can be represented as 3x units per minute.

We know that Romeo runs for 2 minutes and ends up at the same location where they separated. This means that in those 2 minutes, Juliet has walked a distance equal to the distance between them when Romeo changed his direction.

To find the time it takes for Romeo to catch up to Juliet, we need to determine the distance between them when Romeo changes his direction.

Let's assume that the distance between Romeo and Juliet when Romeo changes his direction is d units.

Since Juliet walks for 4 minutes before Romeo changes his direction, the distance she covers can be calculated as 4x units.

After Romeo changes his direction, he runs for 2 minutes and covers a distance of 2 * 3x = 6x units.

Since the total distance covered by Juliet and Romeo is equal to the distance between them when Romeo changes his direction, we can write the equation:

4x + 6x = d

Simplifying the equation, we get:

10x = d

Now, we need to find the time it takes for Romeo to catch up to Juliet. Since Romeo runs three times faster than Juliet, his speed is 3x units per minute.

Let's assume the time it takes for Romeo to catch up to Juliet is t minutes.

During this time, Juliet would have walked a distance of x * t units, and Romeo would have run a distance of 3x * t units.

Since they meet at the same location, the distance covered by Juliet and Romeo should be equal:

x * t + 3x * t = d

Simplifying the equation, we get:

4x * t = d

Substituting the value of d from the previous equation, we get:

4x * t = 10x

Simplifying further, we find:

t = 10/4 = 2.5 minutes

Therefore, it will take Romeo 2.5 minutes to catch up to Juliet, starting from the moment he changes his direction.

Answer

Romeo will catch up to Juliet 2.5 minutes after he changes his direction.