Question

Помогите пожалуйста! Задание с экзамена: Расстояние между двумя станциями поезд прошел за 3 часа. За первый час он прошел 7\24 всего пути, за второй час – 5\18 всего пути. Какую часть всего пути прошел поезд за третий час? Заранее огромная благодарность! 80 баллов

Answer 1

1) 7/24 + 5/18 = 21/72 + 20/72 = 41/72 ч. - часть всего пути, пройденая за 1 и 2 час вместе,
2) 1 - 41/72 = 72/72 - 41/72 = 31/72 ч. - часть пути, пройденая за 3 час

Answer 2

7/24+5/18=21/72+20/72=41/72 - проехал поезд за первые 2 часа.
1-41/72=72/72-41/72=31/72
Ответ: 31/72 часть проехал поезд за третий час
Удачи на экзамене!)

Answer 3

Problem Analysis

To solve this problem, we need to find the fraction of the total distance that the train traveled in the third hour. We are given that the train traveled 7/24 of the total distance in the first hour and 5/18 of the total distance in the second hour. We need to determine the fraction of the total distance traveled in the third hour.

Solution

Let's assume that the total distance between the two stations is represented by the variable `d`. We are given that the train traveled 7/24 of the total distance in the first hour and 5/18 of the total distance in the second hour.

In the first hour, the train traveled 7/24 of the total distance, which can be represented as `(7/24) * d`.

In the second hour, the train traveled 5/18 of the total distance, which can be represented as `(5/18) * d`.

To find the fraction of the total distance traveled in the third hour, we need to subtract the distances traveled in the first and second hours from the total distance and then divide it by the total distance.

The distance traveled in the third hour can be represented as: ``` Distance in third hour = Total distance - Distance in first hour - Distance in second hour = d - (7/24) * d - (5/18) * d ```

To find the fraction of the total distance traveled in the third hour, we divide the distance traveled in the third hour by the total distance: ``` Fraction of total distance traveled in third hour = (Distance in third hour) / Total distance = (d - (7/24) * d - (5/18) * d) / d ```

Simplifying the expression: ``` Fraction of total distance traveled in third hour = (d - (7/24) * d - (5/18) * d) / d = (1 - (7/24) - (5/18)) ```

Now, let's calculate the fraction of the total distance traveled in the third hour.

Calculation

To calculate the fraction of the total distance traveled in the third hour, we need to evaluate the expression `(1 - (7/24) - (5/18))`.

``` Fraction of total distance traveled