Question

Туристы за три дня прошли 60 км. В первый день они прошли 2/5 всего расстояния, во второй 3/4 - остатка. Сколько километров они прошли в третий день?

Answer 1

Ответ:

9 км

Пошаговое объяснение:

Дано:

Всего - 60 км

В первый день - 2/5 всего пути

Во второй день - 3/4 остатка

Найти:

Сколько прошли в третий день - ? км

Решение:

1) 60 : 5 · 2 = 24 (км) - Прошли в первый день

2) 60 - 24 = 36 (км) - Осталось после первого дня

3) 36 : 4 · 3 = 27 (км) - Прошли во второй день

4) 36 - 27 = 9 (км) - Прошли в третий день

Ответ:

9 км

Answer 2

Problem Analysis

The problem states that a group of tourists walked a total distance of 60 km over three days. On the first day, they walked 2/5 of the total distance, and on the second day, they walked 3/4 of the remaining distance. We need to determine how many kilometers they walked on the third day.

Solution

To solve this problem, we can follow these steps:

1. Calculate the distance walked on the first day. 2. Calculate the remaining distance after the first day. 3. Calculate the distance walked on the second day. 4. Calculate the remaining distance after the second day. 5. Calculate the distance walked on the third day.

Let's calculate each step in detail.

Step 1: Calculate the distance walked on the first day

The tourists walked 2/5 of the total distance on the first day. To find this distance, we can multiply the total distance by 2/5.

Distance walked on the first day = (2/5) * Total distance

Step 2: Calculate the remaining distance after the first day

To find the remaining distance after the first day, we subtract the distance walked on the first day from the total distance.

Remaining distance after the first day = Total distance - Distance walked on the first day

Step 3: Calculate the distance walked on the second day

The tourists walked 3/4 of the remaining distance on the second day. To find this distance, we can multiply the remaining distance after the first day by 3/4.

Distance walked on the second day = (3/4) * Remaining distance after the first day

Step 4: Calculate the remaining distance after the second day

To find the remaining distance after the second day, we subtract the distance walked on the second day from the remaining distance after the first day.

Remaining distance after the second day = Remaining distance after the first day - Distance walked on the second day

Step 5: Calculate the distance walked on the third day

The distance walked on the third day is equal to the remaining distance after the second day.

Distance walked on the third day = Remaining distance after the second day

Let's calculate the distances using the given information.

Calculation

Given: - Total distance = 60 km

Step 1: Calculate the distance walked on the first day: Distance walked on the first day = (2/5) * Total distance = (2/5) * 60 km = 24 km

Step 2: Calculate the remaining distance after the first day: Remaining distance after the first day = Total distance - Distance walked on the first day = 60 km - 24 km = 36 km

Step 3: Calculate the distance walked on the second day: Distance walked on the second day = (3/4) * Remaining distance after the first day = (3/4) * 36 km = 27 km

Step 4: Calculate the remaining distance after the second day: Remaining distance after the second day = Remaining distance after the first day - Distance walked on the second day = 36 km - 27 km = 9 km

Step 5: Calculate the distance walked on the third day: Distance walked on the third day = Remaining distance after the second day = 9 km

Answer

The tourists walked 9 km on the third day.

Please let me know if I can help you with anything else.