Question

Скорости ходьбы Миши и Сергея относятся соответственно как 2:3. Миша и Сергей выходят одновременно навстречу друг другу и встречаются через 2 часа, пройдя 20 км. Найдите скорости ходьбы Миши и Сергея?

Answer 1

1) 20 :2 = 10 км/час - общая скорость

2)  2+3 = 5 частей - всего

3) 10 :5 = 2 км/час - 1 часть

4) 2 х 2 = 4 км/час - скорость Миши

5) 3 х 2 = 6 км/час - скорость Сергея

Answer 2

Problem Analysis

We are given that the ratio of the walking speeds of Misha and Sergey is 2:3. They start walking towards each other simultaneously and meet after 2 hours, having covered a total distance of 20 km. We need to find the walking speeds of Misha and Sergey.

Solution

Let's assume the walking speed of Misha is 2x km/h and the walking speed of Sergey is 3x km/h, where x is a constant.

We know that the distance covered by an object is equal to the product of its speed and time. Therefore, the distance covered by Misha in 2 hours is 2x * 2 = 4x km, and the distance covered by Sergey in 2 hours is 3x * 2 = 6x km.

According to the given information, the total distance covered by both Misha and Sergey is 20 km. Therefore, we can write the equation:

4x + 6x = 20

Simplifying the equation:

10x = 20

Dividing both sides of the equation by 10:

x = 2

Now, we can find the walking speeds of Misha and Sergey:

- Misha's walking speed: 2x = 2 * 2 = 4 km/h - Sergey's walking speed: 3x = 3 * 2 = 6 km/h

Therefore, Misha's walking speed is 4 km/h and Sergey's walking speed is 6 km/h.

Answer

The walking speed of Misha is 4 km/h and the walking speed of Sergey is 6 km/h.