Reena drives 10 km towards North, then turns to her right to travel 20 km. She again turns right and moves 7 km before traveling 15 km to her right. From that point she takes a left turn and goes on for 3km and ends the journey. What is the distance between the starting point and the end point?

5 km

The correct answer is Option (2) → 5 km

Step-by-Step Movement Analysis:

To find the distance, we can track Reena's coordinates on a 2D plane, starting from the origin $(0, 0)$. Let's assume North is the positive y-axis and East is the positive x-axis.

1. Start at (0, 0).
2. 10 km North: She reaches $(0, 10)$.
3. Turn right (East) 20 km: She reaches $(20, 10)$.
4. Turn right (South) 7 km: Her new y-coordinate is $10 - 7 = 3$. She reaches $(20, 3)$.
5. Turn right (West) 15 km: Her new x-coordinate is $20 - 15 = 5$. She reaches $(5, 3)$.
6. Turn left (South) 3 km: Her new y-coordinate is $3 - 3 = 0$. She reaches (5, 0).

Final Distance Calculation:

• Starting Point: $(0, 0)$
• End Point: $(5, 0)$

Since the end point lies on the same horizontal line (the x-axis) as the starting point, the distance is simply the difference between the x-coordinates:

$\text{Distance} = 5 - 0 = \mathbf{5 \text{ km}}$