Question

Из двух населенных пунктов, расстояние между которыми 4 км, одновременно навстречу друг другу вышли два пешехода. Так как скорость первого пешехода превышала скорость второго на 2 м/мин, то он прибыл в место назначения на 18 минут раньше. Определи, какова скорость каждого пешехода.

Answer 1

Объяснение:

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Answer 2

Problem Analysis

We have two pedestrians who start walking towards each other from two different towns. The distance between the towns is 4 km. The first pedestrian arrives at the destination 18 minutes earlier than the second pedestrian. We need to determine the speed of each pedestrian.

Solution

Let's assume the speed of the first pedestrian is x m/min and the speed of the second pedestrian is y m/min.

We know that the distance between the towns is 4 km, which is equal to 4000 m.

The time taken by the first pedestrian to cover the distance is given by: time taken by first pedestrian = distance / speed = 4000 / x (in minutes)

The time taken by the second pedestrian to cover the distance is given by: time taken by second pedestrian = distance / speed = 4000 / y (in minutes)

According to the problem, the first pedestrian arrives at the destination 18 minutes earlier than the second pedestrian. So we can write the equation: time taken by first pedestrian = time taken by second pedestrian + 18

Substituting the values, we get: 4000 / x = 4000 / y + 18

Simplifying the equation, we get: 4000y = 4000x + 18xy

Now we can solve this equation to find the values of x and y.

Let's solve the equation step by step:

1. Multiply both sides of the equation by xy to eliminate the denominators: 4000xy = 4000xy + 18x^2y

2. Subtract 4000xy from both sides of the equation: 0 = 18x^2y

3. Divide both sides of the equation by 18xy: 0 = x^2

From this equation, we can see that x = 0.

Therefore, the speed of the first pedestrian is 0 m/min.

To find the speed of the second pedestrian, we can substitute the value of x into the original equation: 4000 / 0 = 4000 / y + 18

Since division by 0 is undefined, there is no solution for the speed of the second pedestrian.

Therefore, based on the given information, it is not possible to determine the speeds of the pedestrians.

Please let me know if you need any further assistance.