Question

От двух остановок, удалённых друг от друга на некотором расстоянии, вышли одновременно и пошли в одном направлении два пешехода. Скорость одного пешехода равна 4 1/5 км/ч ,а скорость другого 3 3/10 км/ч. Через 3 3/1 часа один пешеход догнал другого. Чему равно расстояние между пешеходами в начале пути?

Answer 1

Ответ:

1. 5*3=15 км прошел 1 пешеход

4*3= 12 км прошел 2 пешеход

12+15=27 км расстояние между пешеходами через 3 часа

2. 5+4 = 9 км/ч скорость расхождения пешеходов

27/9 = 3 часа время когда расстояние между пешеходами стало 27 км

3. 5*3 = 15 км прошел 1 пешеход

27-15=12 км прошел 2 пешеход

12/3 = 4 км/ч скорость 2 пешехода

Answer 2

Problem Analysis

We are given that two pedestrians start simultaneously from two different stops and walk in the same direction. We are also given the speeds of both pedestrians. After a certain amount of time, one pedestrian catches up to the other. We need to find the initial distance between the pedestrians.

Solution

Let's assume that the initial distance between the pedestrians is d km.

We are given the speeds of the pedestrians as follows: - The speed of the first pedestrian is 4 1/5 km/h. - The speed of the second pedestrian is 3 3/10 km/h.

After 3 3/1 hours, one pedestrian catches up to the other. Let's calculate the distances covered by both pedestrians in this time.

The distance covered by the first pedestrian is: Distance 1 = Speed 1 x Time = (4 1/5) x (3 3/1) km.

The distance covered by the second pedestrian is: Distance 2 = Speed 2 x Time = (3 3/10) x (3 3/1) km.

Since one pedestrian catches up to the other, the distances covered by both pedestrians must be equal. Therefore, we can set up the following equation:

Distance 1 = Distance 2.

Simplifying the equation, we have:

(4 1/5) x (3 3/1) = (3 3/10) x (3 3/1).

Now, let's solve this equation to find the initial distance between the pedestrians.

Calculation

To solve the equation, we can convert the mixed fractions into improper fractions.

(21/5) x (12/1) = (33/10) x (12/1).

Now, let's multiply both sides of the equation to eliminate the denominators.

21 x 12 = 33 x 12.

Simplifying further, we have:

252 = 396.

Since the equation is not true, it means that our assumption of the initial distance between the pedestrians being d km is incorrect.

Therefore, there is no solution to this problem, and we cannot determine the initial distance between the pedestrians based on the given information.

Please let me know if there is anything else I can help you with.