Question

2. Группа туристов отправилась в поход. В первый день они прошли 1/3 пути, во второй - 1/3 остатка, в третий - 1/3 нового остатка. В результате им осталось пройти 32км. Сколько километров был маршрут туристов?

Answer 1

1) 1 - 1/3 = 3/3 - 1/3 = 2/3 остаток от первого дня

2) 2/3 * 1/3 = 2/9 прошли во второй день

3) 2/3 - 2/9 = 6/9 - 2/9 = 4/9 остаток после второго дня

4) 4/9 * 1/3 = 4/27 прошли в третий день

5) 4/9 - 4/27 = 12/27 - 4/27 = 8/27 остаток после третьего дня

6) 32 : 8/27 = 108 км был маршрут

Answer 2

Ответ:108 км был длиной маршрут у туристов.

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1)узнаем остаток пути,после первого дня:

1 - 1/3 = 2/3

2)узнаем сколько прошли туристы во второй день:

2/3 * 1/3 = 2/9

3)узнаем остаток пути:

2/3 - 2/9 = 6/9 - 2/9 = 4/9

4)узнаем сколько они прошли в третий день:

4/9 * 1/3 = 4/27

5)узнаем остаток пути:

4/9 - 4/27 = 12/27 - 4/27 = 8/27 пути

6)8/27 пути - это 32 км.

7)Для того чтобы узнать какой длины был маршрут,надо 32 км поделить на 8/27:

32 : 8/27 = 32*27/8=4*27 = 108 км.

Пошаговое объяснение:

Answer 3

Calculation of the Distance Covered by the Tourists

To calculate the total distance covered by the tourists, we need to analyze the information provided. According to the given information, the tourists covered 1/3 of the total distance on the first day, 1/3 of the remaining distance on the second day, and 1/3 of the new remaining distance on the third day. In the end, they had 32 km left to travel.

Let's break down the calculation step by step:

1. On the first day, they covered 1/3 of the total distance. 2. On the second day, they covered 1/3 of the remaining distance after the first day. 3. On the third day, they covered 1/3 of the new remaining distance after the second day.

To find the total distance, we need to reverse the process and calculate the distance covered on each day.

Let's assume the total distance is represented by D.

On the first day, they covered 1/3 of the total distance: Distance covered on the first day = 1/3 * D

On the second day, they covered 1/3 of the remaining distance after the first day: Distance covered on the second day = 1/3 * (2/3 * D) = 2/9 * D

On the third day, they covered 1/3 of the new remaining distance after the second day: Distance covered on the third day = 1/3 * (2/3 * (2/3 * D)) = 4/27 * D

In the end, they had 32 km left to travel: Remaining distance = 32 km

Now, we can set up an equation to solve for the total distance D:

1/3 * D + 2/9 * D + 4/27 * D + 32 = D

Simplifying the equation:

9/27 * D + 6/27 * D + 4/27 * D + 32 = D 19/27 * D + 32 = D 19/27 * D - D = -32 -8/27 * D = -32 D = (-32) / (-8/27) D = 32 * (27/8) D = 108 km

Therefore, the total distance of the tourists' route was 108 km.

Please note that the calculation assumes a linear progression of distance covered each day, which may not reflect the actual conditions of the hike.