Question

Помогите с легкой задачкой, пожалуйста! На карте отрезку длиной 3.1 см соответствует на местности расстояние 62 км. Какое расстояние между двумя городами на карте (в см), если расстояние между ними на на местности 86 км?

Answer 1

Ответ:

3.1 см - 62 км

x см - 86 км

x = 86 * 3.1 / 62 = 4.3 см

Ответ: 4.3 см

Answer 2

Solving for the Distance on the Map

To solve this problem, we can use the given information to calculate the distance on the map. We know that 3.1 cm on the map corresponds to 62 km in reality. We can use this ratio to find the distance on the map for a given real-world distance.

Step 1: Calculate the scale of the map. The scale of the map can be calculated using the given information: \[ \text{Scale} = \frac{\text{Length on Map}}{\text{Corresponding Distance in Reality}} \]

Using the given values: \[ \text{Scale} = \frac{3.1 \, \text{cm}}{62 \, \text{km}} \]

Let's calculate the scale.

\[ \text{Scale} = \frac{3.1}{62} = 0.05 \, \text{cm/km} \]

Step 2: Calculate the distance on the map for the given real-world distance. We are given that the real-world distance between the two cities is 86 km. We can use the scale to find the distance on the map: \[ \text{Distance on Map} = \text{Scale} \times \text{Real-world Distance} \]

Using the scale we calculated: \[ \text{Distance on Map} = 0.05 \, \text{cm/km} \times 86 \, \text{km} \]

Let's calculate the distance on the map.

\[ \text{Distance on Map} = 0.05 \times 86 = 4.3 \, \text{cm} \]

So, the distance between the two cities on the map is 4.3 cm.

This calculation is based on the given scale and real-world distances, and it provides the distance on the map corresponding to a real-world distance of 86 km.