Question

Велосепедист проежает некоторое расстояние за 3часа . Если он увеличет скорость на 10км то он проедет 2часа. Найти скорость велосепедиста.

Answer 1

Пусть скорость велосипедиста  х км/ч. Составим и решим уравнение:
3 * х=2*(х+10)
3x=2x+20
3x-2x=20
x=20
Ответ: скорость велосипедиста 20 км/ч.

Answer 2

Problem Analysis

We are given that a cyclist travels a certain distance in 3 hours. If the cyclist increases their speed by 10 km/h, they can cover the same distance in 2 hours. We need to find the cyclist's speed.

Solution

Let's assume the cyclist's initial speed is x km/h. According to the problem, the cyclist covers a certain distance in 3 hours at this speed. When the cyclist increases their speed by 10 km/h, they cover the same distance in 2 hours.

To solve this problem, we can set up the following equation based on the given information:

Distance = Speed × Time

Using this equation, we can set up two equations based on the given information:

1. For the initial speed: - Distance = x km/h × 3 hours

2. For the increased speed: - Distance = (x + 10) km/h × 2 hours

Since the distance covered is the same in both cases, we can equate the two equations:

x km/h × 3 hours = (x + 10) km/h × 2 hours

Now, let's solve this equation to find the value of x, which represents the cyclist's initial speed.

Calculation

To solve the equation, we can start by simplifying both sides:

3x = 2(x + 10)

Expanding the equation:

3x = 2x + 20

Subtracting 2x from both sides:

x = 20

Therefore, the cyclist's initial speed is 20 km/h.

Answer

The cyclist's initial speed is 20 km/h.

Explanation

The cyclist covers a certain distance in 3 hours at a speed of 20 km/h. If the cyclist increases their speed by 10 km/h, they can cover the same distance in 2 hours. This can be calculated by setting up the equation Distance = Speed × Time for both cases and equating them. Solving the equation, we find that the cyclist's initial speed is 20 km/h.