Manya travelled 465 km towards South and Ananya travelled 644 km towards North from the same point. Find the distance between their final destination.

Options

A. 1109 km
B. `-1109` km
C. 1080 km
D. 179 km

Answer

To find the distance between Manya's and Ananya's final destinations, we can follow these steps:

### Step 1: Understand the Directions
Manya travels 465 km towards the South, and Ananya travels 644 km towards the North from the same starting point.

### Step 2: Visualize the Positions
Let's visualize the situation:
- Starting Point (O)
- Manya's Position (A) after traveling South: O to A = 465 km South
- Ananya's Position (B) after traveling North: O to B = 644 km North

### Step 3: Calculate the Total Distance
To find the distance between Manya's and Ananya's final positions, we need to add the distances they traveled in opposite directions:
- Distance from O to A = 465 km (South)
- Distance from O to B = 644 km (North)

The total distance between A and B can be calculated as:
\[ \text{Distance between A and B} = \text{Distance from O to A} + \text{Distance from O to B} \]
\[ \text{Distance between A and B} = 465 \text{ km} + 644 \text{ km} \]

### Step 4: Perform the Addition
Now, we add the two distances:
\[ 465 + 644 = 1109 \text{ km} \]

### Step 5: Conclusion
The distance between Manya's and Ananya's final destinations is 1109 km.

### Final Answer
The distance between their final destinations is **1109 km**.

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