Question

Из деревни вышел пешеход ,через 2 часа за ним выехал велосипедист.скорость велосипедиста10км/ч,а скорость пешехода 5км/ч.через сколько часов велосипедист догонит пешехода? Заранее спасибо!

Answer 1

5км/ч*2ч= 10км - прошел пешеход
10км/ч:10км=1ч - через это время велосипедист догонит пешехода
Ответ: через 1 час

Answer 2

10х=5х+10
10х-5х=10
5х=10
х=2ч
Ответ: через два часа

Answer 3

Problem Analysis

We are given that a pedestrian leaves a village and after 2 hours, a cyclist starts chasing after the pedestrian. The speed of the cyclist is 10 km/h, and the speed of the pedestrian is 5 km/h. We need to determine how many hours it will take for the cyclist to catch up to the pedestrian.

Solution

To solve this problem, we can set up a simple equation based on the relative speeds of the cyclist and the pedestrian. Let's assume that it takes "t" hours for the cyclist to catch up to the pedestrian.

The distance traveled by the pedestrian in "t" hours is given by: Distance_pedestrian = Speed_pedestrian * t

The distance traveled by the cyclist in "t" hours is given by: Distance_cyclist = Speed_cyclist * (t - 2)

Since the cyclist catches up to the pedestrian, the distances traveled by both should be equal. Therefore, we can set up the equation:

Distance_pedestrian = Distance_cyclist

Substituting the values we have: Speed_pedestrian * t = Speed_cyclist * (t - 2)

Now we can solve this equation to find the value of "t".

Calculation

Let's substitute the given values into the equation and solve for "t":

5 * t = 10 * (t - 2)

Expanding the equation: 5t = 10t - 20

Simplifying the equation: 20 = 5t

Dividing both sides by 5: t = 4

Therefore, it will take the cyclist 4 hours to catch up to the pedestrian.

Answer

The cyclist will catch up to the pedestrian in 4 hours.

Explanation

The problem can be solved by setting up an equation based on the relative speeds of the cyclist and the pedestrian. By equating the distances traveled by both, we can solve for the time it takes for the cyclist to catch up to the pedestrian. In this case, the cyclist will catch up to the pedestrian in 4 hours.