Question

СРОЧНО, ПОМОГИТЕ ПОЖАЛУЙСТА ДАМ 10 баллов Путешественники вышли из средневекового города. Путешествие в трактир, в котором планировалась ночевка, проходило с разной средней скоростью - пока компания не наткнулась на разбойников, дело шло быстрее, а после этой встречи бодрый дух друзей поугас, и они пошли медленнее на 4 км/ч. В целом расстояние до трактира составляло 18 км, которое было преодолено за 4 часа, причем первая и вторая части пути заняли одно и то же время. С какой скоростью происходило движение до встречи с разбойниками?

Answer 1

Ответ:

6,5 км/ч

Пошаговое объяснение:

4:2=2 (ч) время до разбойников и после

Пусть х км/ч V до разбойников, то х-4 км/ч V после разбойников

По условию:

2х + 2(х-4) = 18

2х+2х-8= 18

4х=26

Х= 6,5 км/ч до встречи с разбойниками

Answer 2

To find the answer to your question, let's analyze the given information step by step.

Given Information:

- The travelers left a medieval city and were heading to an inn for an overnight stay. - The journey to the inn was at different average speeds. - The company encountered bandits during the journey, which caused the group to slow down by 4 km/h. - The total distance to the inn was 18 km. - The journey took 4 hours, with the first and second parts taking the same amount of time.

Analysis:

Let's break down the information to find the solution.

1. We know that the total distance to the inn is 18 km, and the journey took 4 hours. This means the average speed for the entire journey was 18 km / 4 hours = 4.5 km/h.

2. We also know that the first and second parts of the journey took the same amount of time. Let's assume this time is "t" hours for each part.

3. Since the average speed for the entire journey was 4.5 km/h, we can calculate the distance covered in the first and second parts of the journey using the formula: distance = speed × time.

- Distance covered in the first part = speed × time = 4.5 km/h × t hours = 4.5t km. - Distance covered in the second part = speed × time = 4.5 km/h × t hours = 4.5t km.

4. According to the given information, the group slowed down by 4 km/h after encountering the bandits. This means the speed for the second part of the journey was 4 km/h slower than the speed for the first part.

- Speed for the second part = Speed for the first part - 4 km/h = 4.5 km/h - 4 km/h = 0.5 km/h.

5. Now, we can calculate the distance covered in the first and second parts of the journey using the new speed for the second part.

- Distance covered in the first part = speed × time = 4.5 km/h × t hours = 4.5t km. - Distance covered in the second part = speed × time = 0.5 km/h × t hours = 0.5t km.

6. Since the total distance to the inn is 18 km, we can set up the equation: distance of the first part + distance of the second part = total distance.

- 4.5t km + 0.5t km = 18 km. - Combining like terms: 5t km = 18 km. - Solving for t: t = 18 km / 5 km = 3.6 hours.

7. Now that we know the time for each part of the journey (t = 3.6 hours), we can calculate the speed for the first part using the formula: speed = distance / time.

- Speed for the first part = Distance covered in the first part / Time for the first part = 4.5t km / t hours = 4.5 km/h.

Answer:

The speed of the travelers before encountering the bandits was 4.5 km/h.

Please let me know if you need any further clarification.