Ravi has a road map with a scale of 1.5 cm for 18 km. He drives on that road for 72 km. What would be his distance covered in that map ?

Options

A. 4 cm
B. 6 cm
C. 8 cm
D. 7 cm

Answer

To solve the problem, we need to determine how much distance Ravi would cover on the map when he drives 72 km, given the scale of the map.

### Step-by-Step Solution:

1. **Understand the Scale**: The scale of the map is given as 1.5 cm for 18 km. This means that for every 1.5 cm on the map, it represents a distance of 18 km in reality.

2. **Find the Distance per cm**: To find out how many kilometers are represented by 1 cm on the map, we can set up a proportion:
\[ \text{Distance per cm} = \frac{18 \text{ km}}{1.5 \text{ cm}} = 12 \text{ km/cm} \]
This tells us that each centimeter on the map represents 12 km.

3. **Calculate the Distance on the Map for 72 km**: Now, we need to find out how many centimeters on the map represent 72 km. We can use the formula:
\[ \text{Distance on map (cm)} = \frac{\text{Actual distance (km)}}{\text{Distance per cm (km/cm)}} \]
Plugging in the values:
\[ \text{Distance on map (cm)} = \frac{72 \text{ km}}{12 \text{ km/cm}} = 6 \text{ cm} \]

4. **Conclusion**: Therefore, the distance covered on the map when Ravi drives 72 km is 6 cm.

### Final Answer:
The distance covered on the map is **6 cm**.

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