Question

Из пункта A в пункт B вышел пешеход со скоростью 6 км|ч а через два часа за ним выехал велосипедист со скоростью 10 км|ч через сколько часов велосипедист догонии пешехода?

Answer 1

1) 6*2=12 (км)-пройдет пешеход за 2 часа 
2) 10-6=4(км/ч)-скорость сближения
3) 12:4=3-через 3 часа после выезда велосипедист догонит пешехода

Answer 2

Problem Analysis

We are given that a pedestrian walks from point A to point B with a speed of 6 km/h. After two hours, a cyclist starts from point A and travels towards point B with a speed of 10 km/h. We need to determine how many hours it will take for the cyclist to catch up to the pedestrian.

Solution

Let's assume that the time it takes for the cyclist to catch up to the pedestrian is "t" hours.

During the first two hours, the pedestrian has already covered a distance of 6 km/h * 2 h = 12 km.

Now, let's consider the time after the cyclist starts. Both the pedestrian and the cyclist are moving towards point B.

Let's denote the distance from point A to the point where the cyclist catches up to the pedestrian as "d" km.

Since the pedestrian has already covered 12 km, the remaining distance for the cyclist to catch up is (d - 12) km.

We can set up the following equation to represent the situation:

(d - 12) km = 10 km/h * t h

Simplifying the equation, we get:

d - 12 = 10t

To find the value of "t", we need to determine the value of "d".

Since the pedestrian is walking at a speed of 6 km/h, the distance covered by the pedestrian in "t" hours is 6t km.

Therefore, the distance from point A to the point where the cyclist catches up to the pedestrian is:

d = 6t + 12

Substituting this value of "d" into the equation, we get:

6t + 12 - 12 = 10t

Simplifying the equation further, we get:

4t = 12

Dividing both sides of the equation by 4, we get:

t = 3

Therefore, it will take the cyclist 3 hours to catch up to the pedestrian.

Answer

The cyclist will catch up to the pedestrian after 3 hours.