Question

Помогите решить задачу. Решение необходимо написать подробно используя Х. Велосипедист преодолел расстояние между двумя поселками за 1 ч, а пешеход за 3 ч. Найдите скорость велосипедиста и скорость пешехода, если скорость пешехода на 8 км/ч меньше скорости велосипедиста.

Answer 1

(х-8)*3=х
3х-24=х
3х-х=24
х=12 (км/ч) скорость велосипедиста.
12-8= 4
(как то так)

Answer 2

Problem Analysis

We are given that a cyclist covers the distance between two villages in 1 hour, while a pedestrian covers the same distance in 3 hours. The pedestrian's speed is 8 km/h less than the cyclist's speed. We need to find the speeds of both the cyclist and the pedestrian.

Solution

Let's assume the speed of the cyclist is x km/h. According to the problem, the speed of the pedestrian is 8 km/h less than the cyclist's speed, so the speed of the pedestrian is (x - 8) km/h.

We know that speed is equal to distance divided by time. Since the distance is the same for both the cyclist and the pedestrian, we can set up the following equations:

For the cyclist: x = distance / time x = distance / 1 x = distance (since time is 1 hour)

For the pedestrian: (x - 8) = distance / time (x - 8) = distance / 3

To solve these equations, we can use substitution. We can substitute the value of distance from the first equation into the second equation:

(x - 8) = x / 3

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

Solving the Equation

To solve the equation (x - 8) = x / 3, we can multiply both sides of the equation by 3 to eliminate the fraction:

3(x - 8) = x

Expanding the equation:

3x - 24 = x

Next, let's isolate the variable x by subtracting x from both sides:

3x - x = 24

Simplifying:

2x = 24

Finally, divide both sides of the equation by 2 to solve for x:

x = 12

Answer

The speed of the cyclist is 12 km/h and the speed of the pedestrian is (12 - 8) = 4 km/h.

Please let me know if you need any further assistance!