Question

Мотоциклист проехал по шоссе 8 км, что составило 20 % всего пути. 45 % оставшегося пути он ехал по грунтовой дороге, а далее-по лесной тропе. Решение через x

Answer 1

Мотоциклист ехал 14,4 км по грунтовой дороге, и 17,6 по лесной.

Answer 2

Problem Analysis

We are given that a motorcyclist traveled 8 km on a highway, which represents 20% of the total distance. The remaining distance is divided into two parts: 45% on a dirt road and the rest on a forest trail. We need to find the total distance traveled by the motorcyclist.

Solution

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

According to the problem, the motorcyclist traveled 8 km on the highway, which is 20% of the total distance. This can be represented as:

0.20x = 8 To find the remaining distance, we need to subtract the distance traveled on the highway from the total distance:

x - 8 = remaining distance

The remaining distance is divided into two parts: 45% on a dirt road and the rest on a forest trail. Let's calculate the distance traveled on the dirt road:

0.45 * (x - 8) = distance on dirt road

The remaining distance after traveling on the dirt road is the distance traveled on the forest trail:

remaining distance - distance on dirt road = distance on forest trail

To find the total distance, we need to add up the distances traveled on the highway, dirt road, and forest trail:

8 + distance on dirt road + distance on forest trail = x

Now, let's solve the equations to find the value of x.

Calculation

From equation we have:

0.20x = 8

Solving for x:

x = 8 / 0.20

x = 40

The total distance traveled by the motorcyclist is 40 km.

Answer

The motorcyclist traveled a total distance of 40 km.