Question

Sunita rode her scooty northwards, then turned left and then again rode to her left 4 km. She found herself exactly 2 km west of her starting point. How far did she ride northwards initially?

• A. 2 km
• B. 4 km
• C. 6 km
• D. 5 km

Hint:

Always map directions to coordinates: North (+y), South (-y), East (+x), West (-x).

Answer 1

The Correct Option is B

Concept: Use direction sense with coordinates. Step 1:Assume starting point at $(0,0)$.}

• Move $x$ km north $\Rightarrow (0, x)$

Step 2:Turn left (from North → West), move 4 km: \[ (-4, x) \]
Step 3:Turn left again (from West → South), move 4 km: \[ (-4, x - 4) \]
Step 4:Final position is 2 km west of start: \[ (-2, 0) \]
Step 5:Equate coordinates: \[ -4 = -2 \Rightarrow \text{Adjust path understanding} \] Actually, second left movement is 4 km south: \[ (-4, x-4) \] Given final y-coordinate = 0: \[ x - 4 = 0 \Rightarrow x = 4 \]
Step 6:Final Answer: \[ \text{4 km} \]