Question

Путешественник идёт из одного города в другой 10 дней, а другой путешественник тот же путь проходит за 1 день. через сколько дней встретятся Путешественники, если выйдут Одновременно навстречу друг другу из этих городов?

Answer 1

Ответ:

10/11

Пошаговое объяснение:

За единицу примем путь (расстояние между городами).

1/10 - скорость 1-го путешественника.

1/1 - скорость 2-го путешественника.

1/10 +1/1=1/10 +10/10=11/10 - скорость сближения.

1/(11/10)=10/11 дня - количество дней, через которое встретятся путешественники.

Answer 2

Problem Analysis

We have two travelers who are traveling from one city to another. One traveler takes 10 days to complete the journey, while the other traveler completes the same journey in just 1 day. We need to determine how many days it will take for them to meet if they start at the same time and travel towards each other.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed between the two travelers is the sum of their individual speeds. Let's assume the distance between the two cities is D.

The first traveler takes 10 days to cover the distance, so their speed is D/10 per day. Similarly, the second traveler takes 1 day to cover the same distance, so their speed is D/1 per day.

When they start at the same time and travel towards each other, their relative speed is the sum of their individual speeds: (D/10) + (D/1) = (D + 10D)/10 = 11D/10.

To find the time it takes for them to meet, we can divide the distance between the two cities by their relative speed: D / (11D/10) = 10/11.

Therefore, the two travelers will meet after 10/11 days.

Answer

If the two travelers start at the same time and travel towards each other, they will meet after 10/11 days.