Prakesh starts from point A and drives 11 km towards the south. He then takes a right turn, drives 7 km, turns right and drives 13 km. He then takes a right turn and drives 9 km. He takes a final right turn, drives 2 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 specified.)

3 km to the west

2 km to the east

2 km to the west

1 km to the west

APEDIA

RRB NTPC Graduate Tier 1

2025 • 09 Jun, 2025 • Shift-1

Prakesh starts from point A and drives 11 km towards the south. He then takes a right turn, drives 7 km, turns right and drives 13 km. He then takes a right turn and drives 9 km. He takes a final right turn, drives 2 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 specified.)

Correct Answer

2 km to the west

Vector Displacement Tracking: Let's plot the movements on a standard Cartesian coordinate system, assigning Point A to the origin (0,0).Sequential Navigation: 1......

💡 Analysis & Explanation

Vector Displacement Tracking ▼

Let's plot the movements on a standard Cartesian coordinate system, assigning Point A to the origin (0,0).

Sequential Navigation ▼

1) Drives 11 km South: Current coordinates are (0, -11). 2) Turns right (now facing West) and drives 7 km: Coordinates become (-7, -11). 3) Turns right (now facing North) and drives 13 km: Coordinates become (-7, +2). 4) Turns right (now facing East) and drives 9 km: Coordinates become (+2, +2). 5) Final right turn (facing South) and drives 2 km: Final coordinates at Point P are (+2, 0).

Determining the Return Path ▼

Point P is located at (2, 0), meaning it is exactly 2 km East of the origin, Point A (0,0). Therefore, to return directly to point A from P, Prakesh must travel strictly along the X-axis in the negative direction.

Conclusion ▼

He must drive 2 km to the West.

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