Question

За первый час турист проехал 0,3 всего пути , за второй час -0,5 всего пути , а за третий час - часть пути , что осталась . Какое расстояние проехал турист за три часа , если за третий час он проехал 40 км ?

Answer 1

Пусть х-весь путь
0.3х+0.5х+40=х
0.2х=40
х=200
Ответ:200км

Answer 2

Problem Analysis

The problem states that a tourist traveled a certain distance over three hours. In the first hour, the tourist traveled 0.3 of the total distance. In the second hour, the tourist traveled 0.5 of the total distance. And in the third hour, the tourist traveled the remaining distance, which is given as 40 km. We need to determine the total distance traveled by the tourist over the three hours.

Solution

To solve this problem, we can set up an equation based on the given information and then solve for the total distance.

Let's assume the total distance traveled by the tourist is D.

According to the problem, in the first hour, the tourist traveled 0.3 of the total distance, which can be expressed as 0.3D.

In the second hour, the tourist traveled 0.5 of the total distance, which can be expressed as 0.5D.

And in the third hour, the tourist traveled the remaining distance, which is given as 40 km.

We can set up the equation as follows:

0.3D + 0.5D + 40 = D

Now, let's solve the equation to find the value of D.

0.3D + 0.5D + 40 = D

Combining like terms:

0.8D + 40 = D

Subtracting 0.8D from both sides:

40 = 0.2D

Dividing both sides by 0.2:

D = 40 / 0.2

D = 200

Therefore, the total distance traveled by the tourist over three hours is 200 km.

Answer

The tourist traveled a total distance of 200 km over three hours, given that they traveled 0.3 of the total distance in the first hour, 0.5 of the total distance in the second hour, and the remaining distance of 40 km in the third hour.