On a map 2 cm shows 1 km on the ground, If two stations are 1000 km apart on the ground, then distance between them on map is

Options

A. 2000
B. 2500
C. 3000
D. 3500

Answer

To solve the problem, we need to find the distance between two stations on a map when we know the distance between them on the ground.

### Step-by-Step Solution:

1. **Understand the Scale**:
We are given that on the map, 2 cm represents 1 km on the ground. This means that for every kilometer on the ground, the corresponding distance on the map is 2 cm.

2. **Identify the Ground Distance**:
The distance between the two stations on the ground is given as 1000 km.

3. **Set Up the Proportion**:
Since 1 km on the ground corresponds to 2 cm on the map, we can set up a proportion to find out how many centimeters represent 1000 km.
\[ \text{Distance on map} = \text{Ground distance} \times \text{Map scale} \]
Here, the map scale is 2 cm for every 1 km.

4. **Calculate the Distance on the Map**:
We can calculate the distance on the map by multiplying the ground distance (1000 km) by the scale (2 cm/km):
\[ \text{Distance on map} = 1000 \text{ km} \times 2 \text{ cm/km} = 2000 \text{ cm} \]

5. **Conclusion**:
Therefore, the distance between the two stations on the map is 2000 cm.

### Final Answer:
The distance between the two stations on the map is **2000 cm**.

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