Question

Решите задачу по действиям. Два пешехода пошли одновременно навстречу друг другу из двух посёлков и встретились через 3 часа. Расстояние между посёлками 30 км. Найдите скорость каждого пешехода, если у одного она на 2 км/ч меньше, чем у другого.

Answer 1

30 : 3 = 10 км/ч  скорость сближения пешеходов
х - скорость одного пешехода
х - 2  скорость другого пешехода
х + х - 2 = 10
2х - 2 = 10
2х= 10 + 2
2х = 12
х = 12 : 2
х = 6 км/ч скорость одного пеш.
6 - 2 = 4 км/ч скорость другого пеш.

Answer 2

Problem Analysis

We have two pedestrians walking towards each other from two different villages and they meet after 3 hours. The distance between the villages is 30 km. One pedestrian's speed is 2 km/h less than the other pedestrian's speed. We need to find the speed of each pedestrian.

Solution

Let's assume the speed of the slower pedestrian is x km/h. Then the speed of the faster pedestrian will be x + 2 km/h.

We can use the formula speed = distance / time to find the speed of each pedestrian.

The time taken by both pedestrians to meet is 3 hours, and the distance between the villages is 30 km.

Using the formula, we can set up the following equations:

For the slower pedestrian: x = 30 / 3

For the faster pedestrian: x + 2 = 30 / 3

Now we can solve these equations to find the values of x and x + 2.

Calculation

Let's calculate the values of x and x + 2.

From the first equation: x = 30 / 3 = 10 km/h

From the second equation: x + 2 = 30 / 3 = 10 + 2 = 12 km/h

Therefore, the speed of the slower pedestrian is 10 km/h and the speed of the faster pedestrian is 12 km/h.

Answer

The speed of the slower pedestrian is 10 km/h and the speed of the faster pedestrian is 12 km/h.