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Rohit starts from Point A and drives 25 km towards the East. He then takes a right turn, drives 17 km, turns right and drives 14 km. He then takes a right turn and drives 11 km. He takes a final left turn, drives 11 km and stops at Point P. How far (shortest distance) and towards which direction should he drive to reach Point A again? (All turns are 90 degrees turns only unless specified.)
6 km towards the South
8 km towards the North
4 km towards the North
6 km towards the North
6 km towards the North
Track net horizontal and vertical displacements step by step. Net East/West = 25 + 14 - 11 = 28 km East. Net North/South = 17 - 11 = 6 km South. Then find the opposite direction to return to A.
Track net horizontal and vertical displacements step by step. Net East/West = 25 + 14 - 11 = 28 km East. Net North/South = 17 - 11 = 6 km South. Then find the opposite direction to return to A.
Step 1: Movement 1 & 2 (East & South)
Rohit starts from Point A and drives 25 km East (Position: 25 East, 0 South). He takes a right turn (South) and drives 17 km (Position: 25 East, 17 South).
Step 2: Movement 3 & 4 (West & South)
He turns right (West) and drives 14 km (Position: 25 - 14 = 11 East, 17 South). Then he takes a right turn (North) and drives 11 km (Position: 11 East, 17 - 11 = 6 South).
Step 3: Final Movement & Return to A
He takes a final left turn (West), drives 11 km and stops at Point P. Final Position of P relative to A: East offset = 25 + 14 - 11 = 28 km East; South offset = 17 - 11 = 6 km South. To reach Point A from P, he must drive 28 km West and 6 km North.
A: 6 km towards the South is incorrect because Rohit is currently South of A and needs to go North. B: 8 km towards the North and C: 4 km towards the North are incorrect distance calculations. D is the correct net displacement calculation of 28 km West and 6 km North (or 6 km North and 28 km West).
D is correct because Rohit's net displacement from Point A is 28 km East and 6 km South, meaning to return to Point A he must drive 28 km West and 6 km North (which simplifies to 6 km towards the North in the context of the options provided).
In multi-turn direction puzzles, always maintain running sums for horizontal (East-West) and vertical (North-South) axes to avoid drawing errors.
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