Question

Мотоциклист и велосипедист одновременно отправились навстречу друг другу из пунктов Аи В, расстояние между которыми 80 км. Скорость велосипедиста 10км/ч, скорость мотоциклиста 40 км/ч. Ровно на середине дороги мотоцикл заглох, и дальше мотоциклист шел пешком со скоростью 5км/ч. Через сколько часов после начала движения велосипедист встретит мотоциклиста?

Answer 1

Через 1 час (40 км) мотоцикл остановился.
велосипедист проехал 10 км.
расстояние между ними стало 30, скорость одного - 5км\ч, другого - 10км\ч, складываем =15 км\ч
30/15=2 часа
2+1=3 часа - ОТВЕТ

Answer 2

Середина дороги это 40 км.
значит мотоцикл заглох через 1 час.
за это время велосипедист и мотоциклист проехали 40+10=50 км.
80-50=30 км.- осталось.
30:(10+5)=2 часа они ехали .
2+1=3 часа всего.
Ответ: 3 часа.

Answer 3

Problem Analysis

We have a motorcyclist and a cyclist who start simultaneously from points A and B, respectively, with a distance of 80 km between them. The cyclist's speed is 10 km/h, while the motorcyclist's speed is 40 km/h. When the motorcyclist reaches the midpoint of the road, the motorcycle breaks down, and the motorcyclist continues on foot at a speed of 5 km/h. We need to determine how many hours after the start the cyclist will meet the motorcyclist.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed between the cyclist and the motorcyclist is the sum of their individual speeds. When the motorcyclist is walking, we need to subtract the speed of the motorcyclist from the relative speed.

Let's calculate the time it takes for the cyclist to meet the motorcyclist:

1. Calculate the time it takes for the motorcyclist to reach the midpoint of the road: - Distance traveled by the motorcyclist = 80 km / 2 = 40 km - Time taken by the motorcyclist = Distance / Speed = 40 km / 40 km/h = 1 hour

2. Calculate the remaining distance the motorcyclist needs to cover on foot: - Remaining distance = 80 km / 2 = 40 km

3. Calculate the time it takes for the cyclist to cover the remaining distance: - Relative speed = Cyclist's speed + Motorcyclist's walking speed = 10 km/h + 5 km/h = 15 km/h - Time taken by the cyclist = Remaining distance / Relative speed = 40 km / 15 km/h = 2.67 hours

4. Calculate the total time taken by the cyclist to meet the motorcyclist: - Total time = Time taken by the motorcyclist + Time taken by the cyclist = 1 hour + 2.67 hours = 3.67 hours

Therefore, the cyclist will meet the motorcyclist approximately 3.67 hours after the start.

Answer

The cyclist will meet the motorcyclist approximately 3.67 hours after the start.