Question

Из пункта А в пункт В выехали одновременно велосипедист и мотоциклист. Через два часа мотоциклист, добравшись до пункта В, немедленно повернул обратно и спустя некоторое время встретил велосипедиста на середине пути между А и В. Через сколько часов они встретятся, если одновременно выедут навстречу друг другу из пунктов А и В

Answer 1

X(км/ч) скорость мотоциклиста
1/3х(км/ч) скорость велосипедиста(пояснение ниже)
2x(км) расстояние от A до B
Если они встретились на середине пути то мотоциклист проехал 3х(км) а велосипедист х(км) за 3 часа
Х + 1/3х = 1 целая 1/3 х (в час)
После часа езды им останется проехать всего 2/3х
4/3 : 2/3 = 2
60 : 2 = 30
Значит 1 час 30 минут
Надеюсь правильно
❤️❤️❤️

Answer 2

Problem Analysis

We have a situation where a cyclist and a motorcyclist start simultaneously from point A to point B. After two hours, the motorcyclist reaches point B, turns back, and eventually meets the cyclist in the middle of the distance between points A and B. We need to determine how many hours it will take for them to meet if they start simultaneously from points A and B and travel towards each other.

Solution

Let's assume that the distance between points A and B is D. Since the motorcyclist reaches point B and then turns back, we can conclude that the distance between the meeting point and point B is also D. Therefore, the total distance traveled by the motorcyclist is 2D.

Let's denote the speed of the cyclist as Vc and the speed of the motorcyclist as Vm. Since they start simultaneously, we can say that the time taken by the cyclist to reach the meeting point is Tc and the time taken by the motorcyclist to reach the meeting point is Tm.

We can set up the following equation based on the information given: Distance traveled by the cyclist = Distance traveled by the motorcyclist Vc * Tc = Vm * Tm

We also know that the motorcyclist takes 2 hours to reach point B, so we can write: Tm = Tc + 2

Substituting this value into the equation, we get: Vc * Tc = Vm * (Tc + 2)

Now, we need to solve this equation to find the value of Tc, which represents the time taken by the cyclist to reach the meeting point.

Calculation

To solve the equation, we need the values of Vc and Vm. Unfortunately, the search results did not provide the specific values for these variables. Therefore, we cannot provide a numerical answer to the question.

However, we can provide the general steps to solve the equation once the values of Vc and Vm are known: 1. Substitute the values of Vc and Vm into the equation. 2. Simplify the equation. 3. Solve for Tc. 4. Once Tc is known, calculate Tm using the equation Tm = Tc + 2. 5. The total time taken for them to meet is Tc + Tm.

Please provide the specific values of Vc and Vm, and we can help you solve the equation and find the answer.