Question

Группа туристов прошла 16 км .первую часть пути туристы шли со скоростью 3,5 км/ч ,а вторую часа -скоростью 3 км/ч. На вторую часть пути ушла на 1 ч больше, чем на первую. сколько времени затрачено на весь путь? сколько времени ушло на каждую часть пути? Правильный ответ: 5ч,2ч,3ч

Answer 1

Х часов шли первую часть пути
х+1 часов шли вторую часть пути
3,5х+3(х+1)=16
3,5х+3х+3=16
6,5х=16-3
6,5х=13
х=13:6,5
х=2 (ч) 1-ю часть
х+1=2+1=3 (ч) 2-ю часть
2+3=5 (ч) всего
Ответ: первую часть пути шли 2 часа, вторую часть 3 часа, а всего шли 5 часов

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 journey 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 solve this problem step by step:

1. Let's assume the time taken for the first part of the journey is x hours. 2. Since the speed is given in km/h and the distance is given in km, we can use the formula: distance = speed × time. 3. For the first part of the journey, the distance is 16 km and the speed is 3.5 km/h. So, we have the equation: 16 = 3.5 × x. 4. Solving this equation, we find that x = 16 / 3.5. 5. Now, let's find the time taken for the second part of the journey. We are given that the time taken for the second part is 1 hour more than the time taken for the first part. So, the time taken for the second part is x + 1 hours. 6. For the second part of the journey, the distance is 16 km and the speed is 3 km/h. So, we have the equation: 16 = 3 × (x + 1). 7. Solving this equation, we find that x = 5. 8. Therefore, the time taken for the first part of the journey is 5 hours and the time taken for the second part of the journey is 5 + 1 = 6 hours. 9. The total time taken for the entire journey is the sum of the time taken for the first and second parts: 5 + 6 = 11 hours.

Answer

The total time taken for the entire journey is 11 hours. The time taken for the first part of the journey is 5 hours and the time taken for the second part of the journey is 6 hours.

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