Question

Помогите пожалуйста срочно решить задачу!!!!! „От турбазы до привала туристы шли со скоростью 4,5 км/ч, а возвращались на турбазу со скоростью 4 км/ч, затратив на обратный путь на 15 мин больше. На каком расстоянии от турбазы был сделан привал?" !!!Условие в таблице!!!

Answer 1

Ответ: На расстоянии 9 км

Объяснение: Пусть туристы затратили на путь от турбазы до привала t ч. Значит расстояние от турбазы до привала 4,5t.15 мин = 0,25 ч. Значит 4,5t = 4 • (t + 0,25) => 4,5t = 4t + 1 => 0,5t = 1 => t = 2 => 4,5t = 9.

Answer 2

Problem Analysis

To solve this problem, we need to find the distance from the tourist base to the resting place. We are given that the tourists walked from the tourist base to the resting place at a speed of 4.5 km/h and returned to the tourist base at a speed of 4 km/h, taking 15 minutes longer for the return trip. We need to determine the distance between the tourist base and the resting place.

Solution

Let's assume that the distance from the tourist base to the resting place is d kilometers.

We know that the time taken to walk from the tourist base to the resting place is equal to the distance divided by the speed, which gives us:

Time taken to walk from the tourist base to the resting place = d / 4.5 hours

Similarly, the time taken to return from the resting place to the tourist base is:

Time taken to return from the resting place to the tourist base = d / 4 hours

According to the problem, the time taken for the return trip is 15 minutes longer than the time taken for the initial trip. Since 15 minutes is equal to 0.25 hours, we can set up the following equation:

d / 4.5 + 0.25 = d / 4

To solve this equation, we can multiply both sides by 4.5 to eliminate the denominators:

4.5 * (d / 4.5 + 0.25) = 4.5 * (d / 4)

Simplifying the equation gives us:

d + 1.125 = 1.125d

Next, we can subtract d from both sides of the equation:

1.125 = 1.125d - d

Simplifying further:

1.125 = 0.125d

Finally, we can divide both sides of the equation by 0.125 to solve for d:

d = 1.125 / 0.125

Evaluating the expression gives us:

d = 9

Therefore, the distance from the tourist base to the resting place is 9 kilometers.

Answer

The resting place is located at a distance of 9 kilometers from the tourist base.

Source:

- ' . . . .3' - Oct 28, 2015