Question

«за 3 часа лыжник прошёл расстояние,равное 45 км.за первый час он прошёл 1/3 всего расстояния,за второй час на 1/9 расстояния больше,чем за первый час.за третий час он прошёл оставшийся путь.какую часть расстояния прошёл лыжник за третий час?сколько километров прошёл лыжник за третий час?»

Answer 1

Составляем уравнение:
1 час — 1/3 можно перевести для общего знаменателя в 3/9(ничего не изменится)
2 час — первый час складываем с 1/9 тоесть 3/9 + 1/9 = 4/93 час — весь путь лыжника разделим на девять частей, то есть 9 это всего, и от него мы отнимаем 1 и 2 часы 9-(3+4)=2И уравнение:3x+4x+2x=459x=45x=5И находим сколько лыжник прошёл за третий час:2*x=2*5=10Ответ: 2/9(часть расстояния), 10км.

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 in the question.

According to the question, the skier covered a total distance of 45 km in 3 hours. Let's break down the information step by step:

- In the first hour, the skier covered 1/3 of the total distance. - In the second hour, the skier covered a distance that was 1/9 more than the distance covered in the first hour. - In the third hour, the skier covered the remaining distance.

To find the distance covered in the third hour, we need to subtract the distances covered in the first two hours from the total distance of 45 km.

Let's calculate the distances covered in the first two hours:

- Distance covered in the first hour: (1/3) * 45 km = 15 km. - Distance covered in the second hour: (1/3 + 1/9) * 45 km = 20 km.

Now, let's calculate the distance covered in the third hour:

- Distance covered in the third hour: Total distance - Distance covered in the first two hours = 45 km - (15 km + 20 km) = 10 km.

Therefore, the skier covered 10 km in the third hour.

Proportion of Distance Covered in the Third Hour

To find the proportion of the total distance covered by the skier in the third hour, we can divide the distance covered in the third hour by the total distance.

- Proportion of distance covered in the third hour: Distance covered in the third hour / Total distance = 10 km / 45 km = 2/9.

Therefore, the skier covered 2/9 of the total distance in the third hour.

In summary: - The skier covered 10 km in the third hour. - The skier covered 2/9 of the total distance in the third hour.