Question

Rashmi travels 10 km towards the north, turns left and travels 4 km and then again turns right and covers another 5 km and then turns right and travels another 4 km. How far is she from the starting point ?

• A. 5 km
• B. 10 km
• C. 19 km
• D. 15 km

Answer 1

The Correct Option is D

To find out how far Rashmi is from the starting point, we can break down her journey step by step and visualize it. Here's the breakdown:

1. Rashmi starts by traveling 10 km north.
2. She then turns left and travels 4 km. Since she was going north, turning left means she now heads west.
3. Then she makes a right turn and covers 5 km. Heading west, a right turn leads her north again.
4. Finally, she turns right once more and travels 4 km. Moving north again, another right leads her east.

The final position can be visualized by placing Rashmi's coordinates relative to her starting point:

Direction	Displacement
North	10 + 5 = 15 km
South	None
East	4 km (last turn)
West	4 km

Since the eastward and westward displacements cancel each other out, Rashmi's total vertical displacement is 15 km north. Therefore, she is 15 km away from the starting point.