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A map is drawn at a scale of 2mm for 500...

A map is drawn at a scale of 2mm for 500kms/ Two places are marked at the distance of 3.6mm, calculate the distance? (in kms) between these two places?
A 900
B. 800
C. 750
D. 60

A

D

B

A

C

C

D

B

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to determine the actual distance between two places marked on a map based on the given scale. ### Step-by-Step Solution: 1. **Understand the Scale**: The scale of the map is given as 2 mm for 500 km. This means that every 2 mm on the map represents a distance of 500 km in reality. 2. **Calculate the Distance Represented by 1 mm**: \[ \text{Distance represented by 1 mm} = \frac{500 \text{ km}}{2 \text{ mm}} = 250 \text{ km/mm} \] 3. **Identify the Distance on the Map**: The distance between the two places on the map is given as 3.6 mm. 4. **Calculate the Actual Distance**: \[ \text{Actual distance} = \text{Distance on map} \times \text{Distance represented by 1 mm} \] \[ \text{Actual distance} = 3.6 \text{ mm} \times 250 \text{ km/mm} = 900 \text{ km} \] 5. **Conclusion**: The distance between the two places is 900 km. ### Final Answer: The distance between the two places is **900 km** (Option A).
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