Question

Из деревни Петровка в Село Михайловское в 8 часов утра вышел пешеход , а в 14 часов из деревни в том же направлении выехал велосипедист. через какое время велосипедист догонит пешехода, если пешеход идет со скоростью3 км/ч, а велосипедист едет со скоростью 12 км/ч

Answer 1

Пусть х - время, через которое велосипедист догонит пешехода.
Тогда пешеход проведет в пути х+6 часов.
На месте встречи расстояние до деревни Петровка составит:
12х или 3(х+6)
Составим уравнение:
12х = 3(х+6)
12х = 3х + 18
12х - 3х = 18
9х = 18
х = 2
Ответ: велосипедист догонит пешехода через 2 часа.

Answer 2

Пусть х-время велосипедиста, тогда (х+6)-  время пешехода.Расстояние которое прошел велосипедист (12х), тогда расстояние пешехода 3(х+6). можем составить уравнение:
3(х+6)=12х
3х+18=12х
18=12х-3х
9х=18
х=18:9
х=2
через 2 часа велосипедист догонит пешехода
Ответ: 2ч

Answer 3

Problem Analysis

We are given that a pedestrian left the village of Petrovka for the village of Mikhailovskoe at 8:00 am, and a cyclist left the village in the same direction at 2:00 pm. We need to determine how long it will take for the cyclist to catch up to the pedestrian, given that the pedestrian is walking at a speed of 3 km/h and the cyclist is riding at a speed of 12 km/h.

Calculation

To solve this problem, we can use the formula: time = distance / speed.

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

During this time, the pedestrian will have covered a distance of 3t km (since the pedestrian is walking at a speed of 3 km/h).

The cyclist will have covered a distance of 12(t - 6) km (since the cyclist started 6 hours after the pedestrian).

Since the distances covered by the pedestrian and the cyclist are the same when the cyclist catches up to the pedestrian, we can set up the following equation:

3t = 12(t - 6)

Simplifying the equation:

3t = 12t - 72

72 = 12t - 3t

72 = 9t

t = 8

Therefore, it will take the cyclist 8 hours to catch up to the pedestrian.

Answer

The cyclist will catch up to the pedestrian after 8 hours.

Note: The answer is based on the assumption that the cyclist and the pedestrian are traveling in a straight line and there are no other factors affecting their speeds or paths.