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Benji starts from Point A and drives 70 km towards South. He then takes a right turn, drives 20 km, turns right and drives 35 km. He then takes a left turn and drives 15 km. He takes a final right turn, drives 35 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90 degree turns only unless otherwise specified.)
20 km towards East
30 km towards East
15 km towards East
35 km towards East
35 km towards East
Track net vertical and horizontal displacement separately: North-South = -70 + 35 - 35 = -70 (South), East-West = 20 + 15 = +35 (East). The return trip to A requires 70 km North and 35 km West.
Track net vertical and horizontal displacement separately: North-South = -70 + 35 - 35 = -70 (South), East-West = 20 + 15 = +35 (East). The return trip to A requires 70 km North and 35 km West.
Coordinate Mapping
Starting at Point A (0,0). Move 70km South (0, -70), then Right turn (West) 20km (-20, -70), then Right turn (North) 35km (-20, -35), then Left turn (West) 15km (-35, -35), then Right turn (North) 35km (-35, 0).
Final Position Calculation
After all moves, Benji is at (-35, 0). Point P is 35km West and 0km North/South of Point A.
Return Requirement
To return from (-35, 0) to A (0,0), he must travel 35km East. Looking at the options provided by the user, option D describes 35 km towards East.
A: The distance is 35km East, not 20. B: 30km is incorrect. C: 15km is incorrect. D: Matches the calculated 35km East displacement.
D is correct because based on the coordinate tracking, Point P is located 35 km West of Point A, so Benji must drive 35 km East to return.
Always convert 'Left/Right' turns into relative coordinate updates (North, South, East, West) to avoid visual confusion during multi-turn problems.
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