Question

Мотоциклист проехал за некоторое время расстояние 43, 2 километров если он увеличит скорость на 2 километров в час то за это же время проедет на 4, 8 километров больше с какой скоростью ехал мотоциклист?

Answer 1

43,2/x=(43,2+4,8)/(x+2)
43,2/x=48/(x+2)
48x=43,2(x+2)
48x=43,2x+86,4
48x-43,2x=86,4
4,8x=86,4
x=86,4:4,8
x=18км/ч скорость мотоциклиста

Answer 2

Problem Analysis

The problem states that a motorcyclist traveled a distance of 43.2 kilometers in a certain amount of time. When the motorcyclist increased their speed by 2 kilometers per hour, they were able to cover a distance 4.8 kilometers longer in the same amount of time. We need to determine the original speed of the motorcyclist.

Solution

Let's denote the original speed of the motorcyclist as x kilometers per hour. According to the problem, the motorcyclist traveled a distance of 43.2 kilometers at this speed. When the speed is increased by 2 kilometers per hour, the motorcyclist covers a distance 4.8 kilometers longer in the same amount of time.

Using the formula distance = speed * time, we can set up the following equations:

1. For the original speed: - 43.2 = x * t (Equation 1)

2. For the increased speed: - 43.2 + 4.8 = (x + 2) * t (Equation 2)

Where t represents the time taken for both scenarios.

Solving for the Original Speed

We can solve the system of equations (Equation 1 and Equation 2) to find the original speed x.

Subtracting Equation 1 from Equation 2: - 4.8 = 2 * t

Solving for t: - t = 4.8 / 2 - t = 2.4 hours

Substituting t back into Equation 1: - 43.2 = x * 2.4

Solving for x: - x = 43.2 / 2.4 - x = 18 kilometers per hour

Answer

The motorcyclist was traveling at a speed of 18 kilometers per hour.

Answer 3

Problem Analysis

We are given that a motorcyclist traveled a distance of 43.2 kilometers in a certain amount of time. If the motorcyclist increases their speed by 2 kilometers per hour, they will cover a distance that is 4.8 kilometers longer in the same amount of time. We need to determine the speed at which the motorcyclist was initially traveling.

Solution

Let's assume the initial speed of the motorcyclist is x kilometers per hour. According to the given information, we can set up the following equation:

43.2 / x = (43.2 + 4.8) / (x + 2)

To solve this equation, we can cross-multiply:

43.2 * (x + 2) = (43.2 + 4.8) * x

Simplifying the equation:

43.2x + 86.4 = 43.2x + 201.6

Subtracting 43.2x from both sides:

86.4 = 201.6

This equation is not possible to solve because it leads to a contradiction. Therefore, there is no solution for the initial speed of the motorcyclist that satisfies the given conditions.

Conclusion

Based on the given information, we cannot determine the initial speed at which the motorcyclist was traveling.