Question

За 3ч лыжник прошел расстояние равное 45км за первый час он прошел 1/3 всего расстояния ,завторой час на 1/9 расстояния больше,чем за первый час. за третий час он прошел оставшийся путь . Сколько километров прошёл лыжник за третий час?

Answer 1

1) 45:3•1=15 км- прошел за первый час.
2)45:9•1+15=20 км-прошел за второй час
3)45-15-20=10 км-прошел за третий час.
Ответ: 10 км

Answer 2

Calculation of Distance Covered by the Skier

To determine the distance covered by the skier in the third hour, we need to analyze the information provided.

According to the given information: - In the first hour, the skier covered 1/3 of the total distance. - In the second hour, the skier covered 1/9 more distance than in the first hour. - In the third hour, the skier covered the remaining distance.

Let's calculate the distance covered by the skier in each hour step by step.

1. Distance covered in the first hour: - Let's assume the total distance covered by the skier is D km. - In the first hour, the skier covered 1/3 of the total distance. - Therefore, the distance covered in the first hour is (1/3)D km.

2. Distance covered in the second hour: - In the second hour, the skier covered 1/9 more distance than in the first hour. - This means the distance covered in the second hour is (1/3)D + (1/9)(1/3)D km. - Simplifying the expression, we get (4/27)D km.

3. Distance covered in the third hour: - The skier covered the remaining distance in the third hour. - The remaining distance can be calculated by subtracting the distance covered in the first two hours from the total distance. - The distance covered in the first two hours is (1/3)D + (4/27)D km. - Therefore, the distance covered in the third hour is D - [(1/3)D + (4/27)D] km.

Now, let's simplify the expression for the distance covered in the third hour.

The distance covered in the third hour is given by: D - [(1/3)D + (4/27)D]

Simplifying the expression: D - (9/27)D - (4/27)D = D - (13/27)D = (27/27)D - (13/27)D = (14/27)D km

Therefore, the skier covered (14/27)D km in the third hour.

Answer:

The skier covered (14/27)D km in the third hour.

Note: To determine the exact distance covered in the third hour, we need to know the value of the total distance (D) covered by the skier.