Question

Помогите решить задачу Два туриста вышли одновременно из двух городов, расстояние между которыми 38 км и встретились через 4 часа. С какой скоростью шел каждый турист, если известно, что первый прошел до встречи на 2 км больше второго?

Answer 1

Выясняем сколько км прошел каждый:
х+(х+2)=38
2х+2=38
х=(38-2)/2=18

Значит один прошел 18 км, второй 18+2=20 км. Это все за четыре часа.
Скорость первого 18/4=4,5км/ч
Скорость второго 20/4=5 км/ч

Answer 2

Problem Analysis

We have two tourists who start simultaneously from two cities that are 38 km apart. They meet each other after 4 hours. We need to find the speed at which each tourist was walking, given that the first tourist walked 2 km more than the second tourist before they met.

Solution

Let's assume the speed of the first tourist is x km/h and the speed of the second tourist is y km/h.

We know that the distance traveled by each tourist is equal to their speed multiplied by the time taken. Since they both meet after 4 hours, we can write the following equations:

For the first tourist: Distance = Speed * Time Distance = x * 4

For the second tourist: Distance = Speed * Time Distance = y * 4

We also know that the first tourist walked 2 km more than the second tourist before they met. So we can write another equation:

Distance of the first tourist = Distance of the second tourist + 2 km x * 4 = y * 4 + 2

Now we have two equations with two unknowns. We can solve these equations to find the values of x and y.

Solution Steps

1. Substitute the value of Distance in the third equation: x * 4 = y * 4 + 2

2. Simplify the equation: 4x = 4y + 2

3. Rearrange the equation: 4x - 4y = 2

4. Divide both sides of the equation by 2: 2x - 2y = 1

5. Divide both sides of the equation by 2 again: x - y = 0.5

6. Rearrange the equation: x = y + 0.5

7. Substitute the value of x in the first equation: Distance = x * 4 Distance = (y + 0.5) * 4

8. Simplify the equation: Distance = 4y + 2

9. Substitute the value of Distance in the second equation: Distance = y * 4

10. Simplify the equation: 4y + 2 = y * 4

11. Rearrange the equation: 4y - y = 2 * 4

12. Simplify the equation: 3y = 8

13. Divide both sides of the equation by 3: y = 8 / 3

14. Calculate the value of y: y = 2.67 km/h

15. Substitute the value of y in the equation x = y + 0.5: x = 2.67 + 0.5

16. Calculate the value of x: x = 3.17 km/h

Answer

The first tourist walked at a speed of 3.17 km/h, and the second tourist walked at a speed of 2.67 km/h.

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