Question

Туристы прошли 0,1 намеченного пути. Если бы они прошли ещё 8 км, то прошли бы половину пути. Найдите длину всего пути. ( И ОБЪЯСНИТЕ КАК ЧТО НАХОДИЛИ ОБЯЗАТЕЛЬНО!)

Answer 1

Половина=0,5
х км - весь путь
0,1х км - прошли
0,1х+8  км - надо пройти до половины пути
0,5х км - половина пути

0,1х+8=0,5х
0,5х-0,1х=8
0,4х=8
х=8:0,4
х=20(км) - длина пути

Answer 2

Problem Analysis

We are given that the tourists have walked 0.1 of the planned distance. If they had walked an additional 8 km, they would have covered half of the total distance. We need to find the total length of the path.

Solution

Let's assume the total distance is represented by x.

According to the given information: - The tourists have walked 0.1 of the planned distance, which is equal to 0.1x. - If they had walked an additional 8 km, they would have covered half of the total distance, which is equal to 0.5x.

We can set up the following equation to solve for x:

0.1x + 8 = 0.5x

To solve this equation, we can subtract 0.1x from both sides:

8 = 0.4x

Then, we can divide both sides by 0.4:

x = 8 / 0.4 = 20

Therefore, the total length of the path is 20 km.

Explanation

The tourists have walked 0.1 of the planned distance, which is equal to 0.1x. If they had walked an additional 8 km, they would have covered half of the total distance, which is equal to 0.5x. By setting up and solving the equation 0.1x + 8 = 0.5x, we find that the