Question

Расстояние от пункта А до пункта В равно 6 км, а от пункта В до пункта С вдвое больше.Может ли расстояние между пунктами А и С быть равным:18 км? 6 км? 10 км? 4 км? 19 км?

Answer 1

Да они могут быть равны 18 см

Answer 2

Problem Analysis

We are given that the distance from point A to point B is 6 km, and the distance from point B to point C is twice as much as the distance from A to B. We need to determine if the distance between points A and C can be equal to 18 km, 6 km, 10 km, 4 km, or 19 km.

Solution

Let's analyze each option:

1. 18 km: The distance from A to C cannot be 18 km because it is greater than the sum of the distances from A to B (6 km) and from B to C (12 km). Therefore, the distance from A to C cannot be 18 km.

2. 6 km: The distance from A to C can be 6 km if the distance from B to C is 0 km. In this case, the total distance from A to C would be equal to the distance from A to B (6 km). Therefore, the distance from A to C can be 6 km.

3. 10 km: The distance from A to C cannot be 10 km because it is less than the sum of the distances from A to B (6 km) and from B to C (12 km). Therefore, the distance from A to C cannot be 10 km.

4. 4 km: The distance from A to C cannot be 4 km because it is less than the distance from A to B (6 km). Therefore, the distance from A to C cannot be 4 km.

5. 19 km: The distance from A to C cannot be 19 km because it is greater than the sum of the distances from A to B (6 km) and from B to C (12 km). Therefore, the distance from A to C cannot be 19 km.

In summary, the distance between points A and C can be equal to 6 km, but it cannot be equal to 18 km, 10 km, 4 km, or 19 km.

Conclusion

The distance between points A and C can be equal to 6 km, but it cannot be equal to 18 km, 10 km, 4 km, or 19 km.