Question

Велосипидист и пешеход одновременно отправились из пункта А в пункт В расстояние между которыми 36км.скорость велосипедиста 9км/ч , скорость велосипедиста 6 км/ч . ровно на середине дороги велосипедиста проколол колесо и дальше шел пешком со скоростью 4км/ч .через сколько часов пешеход догонит велосипедиста? <br />Пожалуйста решение с пояснением.

Answer 1

Велосипедист остановился на середине дороги - это 18 км. Считаем сколько он ехал часов: 18:9 = 2 часа. За эти два часа пешеход прошел: 2*6 = 12 км. Разница км между ними составляет: 18-12 = 6. Разница в скорости 6-4 = 2. Делим расстояние на скорость: 6:2 = 3. 3 часа чтобы догнать пешеходу из точки прокола, но если считать от точки старта то 3+2=5. Ответ: от точки старта пешеход догонит велосипедиста через 5 часов. От точки прокола через 3.

Answer 2

Половина пути составляет 36/2=18
Велосипедист проехал этот участок за 18/9= 2 часа
Пешеход за это же время прошел 6*2=12 км.
Предположим, что Пешеход догонит велосипедиста через Х часов. Расстояние, который каждый пройдет к этому времени будет равняться
18+4х=12+6х
18-12=6х-4х
6=2Х
Х=3

Пешеходу понадобится 3 часа

Answer 3

Problem Analysis

We are given that a cyclist and a pedestrian simultaneously started from point A and point B, respectively, with a distance of 36 km between them. The cyclist's speed is 9 km/h, and the pedestrian's speed is 6 km/h. When the cyclist was exactly in the middle of the road, their bicycle tire got punctured, and they continued on foot with a speed of 4 km/h. We need to determine how many hours it will take for the pedestrian to catch up to the cyclist.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed between the cyclist and the pedestrian is the difference between their speeds. In this case, the relative speed is 9 km/h - 6 km/h = 3 km/h.

Since the cyclist was exactly in the middle of the road when their tire got punctured, the distance traveled by the cyclist before the puncture is half of the total distance, which is 36 km / 2 = 18 km.

Now, let's calculate the time it takes for the pedestrian to cover this distance at a relative speed of 3 km/h.

Using the formula: time = distance / speed, we can calculate the time it takes for the pedestrian to cover the distance of 18 km at a speed of 3 km/h.

Time taken by the pedestrian = 18 km / 3 km/h = 6 hours.

Therefore, it will take the pedestrian 6 hours to catch up to the cyclist.

Answer

The pedestrian will catch up to the cyclist in 6 hours.

Explanation

The relative speed between the cyclist and the pedestrian is 3 km/h. Since the cyclist was exactly in the middle of the road when their tire got punctured, the distance traveled by the cyclist before the puncture is 18 km. The time it takes for the pedestrian to cover this distance at a relative speed of 3 km/h is 6 hours. Therefore, the pedestrian will catch up to the cyclist in 6 hours.