Question

Группа туристов прошла 16км. Первую часть пути туристы шли со скоростью 3,5 км/ч, а вторую часть - со скоростью 3 км/ч. На вторую часть пути ушло на 1 ч больше, чем на первую. Сколько времени затрачено на весь путь? Сколько времени ушло на каждую часть пути?

Answer 1

х ч врмени на 1 часть пути

х+1 времени на 2 часть пути

3,5х+3*(х+1)=16

3,5х+3х+3=16

6,5х=13

х=13/6,5=3 часа на первую часть пути

х+1=4 часа на вторую часть пути

3+4=7 часов затратили на весь путь

Answer 2

Problem Analysis

We are given that a group of tourists traveled a total distance of 16 km. They traveled the first part of the distance at a speed of 3.5 km/h and the second part at a speed of 3 km/h. The time taken for the second part of the journey was 1 hour more than the time taken for the first part. We need to find the total time taken for the entire journey and the time taken for each part of the journey.

Solution

Let's assume that the time taken for the first part of the journey is t hours. Since the speed is distance divided by time, we can calculate the distance of the first part of the journey using the formula:

distance = speed × time

For the first part of the journey, the distance is 3.5 km/h × t hours.

For the second part of the journey, the time taken is 1 hour more than the time taken for the first part. So, the time taken for the second part of the journey is t + 1 hours. The distance for the second part of the journey is 3 km/h × (t + 1) hours.

The total distance traveled is the sum of the distances of the first and second parts of the journey, which is 16 km.

We can set up the following equation to solve for t:

3.5t + 3(t + 1) = 16

Simplifying the equation:

3.5t + 3t + 3 = 16

6.5t + 3 = 16

6.5t = 13

t = 13/6.5

t = 2

Therefore, the time taken for the first part of the journey is 2 hours. The time taken for the second part of the journey is 2 + 1 = 3 hours.

To find the total time taken for the entire journey, we add the time taken for the first and second parts:

Total time = 2 hours + 3 hours = 5 hours

Answer

The total time taken for the entire journey is 5 hours. The time taken for the first part of the journey is 2 hours, and the time taken for the second part of the journey is 3 hours.