Question

Два автомобиля выехали одновременно навстречу друг другу из пунктов А и В. Известно, что автомобиль, выехавший из пункта А до встречи с другим автомобилем ехал 80 мин., а после встречи за 50 мин. доехал до пункта В. За какое время другой автомобиль, выехавший из пункта В, доехал до пункта А, если автомобили ехали с постоянными скоростями? А. 2 ч. 28 мин. Б. 2 ч. 58 мин. В. 3 ч. 28 мин. Г. 3 ч. 48 мин.

Answer 1

80 / 50 * 80 + 80= 208 минут. = 3 часа 28 минут.



Если что вот.

Answer 2

Problem Analysis

We are given that two cars start simultaneously from points A and B and travel towards each other. We know the time it takes for the car starting from point A to reach the meeting point and the time it takes for that car to reach point B after the meeting. We need to determine the time it takes for the car starting from point B to reach point A.

Solution

Let's assume that the distance between points A and B is D, and the speeds of the two cars are V1 and V2, respectively.

We are given that the car starting from point A takes 80 minutes to reach the meeting point. Since speed is equal to distance divided by time, we can write the equation:

V1 = D / 80 We are also given that the car starting from point A takes 50 minutes to reach point B after the meeting. Using the same logic, we can write the equation:

V1 = D / 50 Since the two cars are traveling towards each other, the total distance traveled by both cars is equal to D. Therefore, we can write the equation:

V1 * 80 + V2 * T = D where T is the time it takes for the car starting from point B to reach point A.

We can substitute the values from equations and into equation to solve for T:

(D / 80) * 80 + (D / 50) * T = D

Simplifying the equation, we get:

D + (D / 50) * T = D

T = 50

Therefore, the time it takes for the car starting from point B to reach point A is 50 minutes.

Answer

The correct answer is 50 minutes (option B).