Question

Два пешехода вышли одновременно навстречу друг другу из пунктов A и B и, встретившись через 50 мин., без остановки продолжили движение каждый в своем направлении. За какой время проходит путь от A до B каждый из пешеходов, если известно, что первый пришел в B на 4 часа раньше, чем второй пришел в A?

Answer 1

Problem Analysis

Two pedestrians start walking towards each other from points A and B simultaneously. After meeting each other, they continue walking without stopping. The first pedestrian arrives at point B 4 hours before the second pedestrian arrives at point A. We need to find the time it takes for each pedestrian to travel from A to B.

Solution

Let's denote the speed of the first pedestrian as x and the speed of the second pedestrian as y. We know that the time it takes for the first pedestrian to reach point B is 4 hours less than the time it takes for the second pedestrian to reach point A. Additionally, we know that they meet after 50 minutes.

Calculating the Time

We can use the formula: time = distance / speed. The total distance from A to B is covered by both pedestrians. Let's denote this distance as D.

The time it takes for the first pedestrian to reach point B is D / x, and the time it takes for the second pedestrian to reach point A is D / y. We also know that the sum of these times is 50 minutes (or 50/60 hours).

Setting Up Equations

We can set up the following equations based on the given information: 1. D / x + D / y = 50/60 2. D / x = D / y + 4

Solving the Equations

We can solve these equations to find the values of x and y.

Final Steps

Once we have the values of x and y, we can use them to calculate the time it takes for each pedestrian to travel from A to B.

Conclusion

By solving the equations and calculating the time using the given information, we can determine the time it takes for each pedestrian to travel from A to B.