Question

Туристи за три дні пройшли 49 км. Першого дня вони пройшли всього 2 / 7маршруту, а другого – 80 % решти. Скільки кілометрів туристи пройшли третього дня?

Answer 1

80% = 80/100 = 0,8
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1) 2/7 * 49 = 49 : 7 * 2 = 14 (км) - прошли в первый день;
2) 49 - 14 = 35 (км) - оставшийся путь;
3) 35 * 0,8 = 28 (км) - прошли во второй день;
4) 49 - (14 + 28) = 49 - 42 = 7 (км) - прошли в третий день.
Вiдповiдь: 7 км пройшли туристи третього дня.

Answer 2

Problem Analysis

The problem states that a group of tourists walked a total of 49 km over three days. On the first day, they walked only 2/7 of the route, and on the second day, they walked 80% of the remaining distance. We need to determine how many kilometers the tourists walked on the third day.

Solution

To solve this problem, we can break it down into 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:

1. Calculate the distance walked on the first day: - The total distance walked over three days is 49 km. - The distance walked on the first day is 2/7 of the total distance. - Therefore, the distance walked on the first day is (2/7) * 49 km.

2. Calculate the remaining distance after the first day: - The total distance walked over three days is 49 km. - The distance walked on the first day is (2/7) * 49 km. - Therefore, the remaining distance after the first day is 49 km - (2/7) * 49 km.

3. Calculate the distance walked on the second day: - The remaining distance after the first day is 49 km - (2/7) * 49 km. - The distance walked on the second day is 80% of the remaining distance. - Therefore, the distance walked on the second day is 0.8 * (49 km - (2/7) * 49 km).

4. Calculate the remaining distance after the second day: - The remaining distance after the first day is 49 km - (2/7) * 49 km. - The distance walked on the second day is 0.8 * (49 km - (2/7) * 49 km). - Therefore, the remaining distance after the second day is (49 km - (2/7) * 49 km) - 0.8 * (49 km - (2/7) * 49 km).

5. Calculate the distance walked on the third day: - The remaining distance after the second day is (49 km - (2/7) * 49 km) - 0.8 * (49 km - (2/7) * 49 km). - The distance walked on the third day is the remaining distance after the second day.

Let's calculate the values:

1. Calculate the distance walked on the first day: - Distance walked on the first day = (2/7) * 49 km = 14 km.

2. Calculate the remaining distance after the first day: - Remaining distance after the first day = 49 km - (2/7) * 49 km = 35 km.

3. Calculate the distance walked on the second day: - Distance walked on the second day = 0.8 * (49 km - (2/7) * 49 km) = 0.8 * 35 km = 28 km.

4. Calculate the remaining distance after the second day: - Remaining distance after the second day = (49 km - (2/7) * 49 km) - 0.8 * (49 km - (2/7) * 49 km) = 35 km - 28 km = 7 km.

5. Calculate the distance walked on the third day: - Distance walked on the third day = Remaining distance after the second day = 7 km.

Therefore, the tourists walked 7 km on the third day.

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