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Direction and Distance
Direction and Distance
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NTPC Graduate Tier 1 2025 Shift-3 📅 06 Jun, 2025

Pravenesh starts from point A and drives 12 km towards the south. He then takes a right turn, drives 7 km, turns right and drives 14 km. He then takes a right turn and drives 10 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.)

A
2 km to the east
B
4 km to the east
C
3 km to the east
D
3 km to the west
Result Summary
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NTPC Graduate Tier 1
2025 • 06 Jun, 2025 • Shift-3
Pravenesh starts from point A and drives 12 km towards the south. He then takes a right turn, drives 7 km, turns right and drives 14 km. He then takes a right turn and drives 10 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
3 km to the west
Mapping Coordinates: Let starting Point A be at origin $(0,0)$.Tracing Movements: 1. 12 km South: position is $(0, -12)$. 2. Right turn (facing West) for 7 km: ......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Direction and Distance
Chapter -
Ref. Topic Direction and Distance
Pg. No -
💡 Analysis & Explanation
Mapping Coordinates ▼
Let starting Point A be at origin $(0,0)$.
Tracing Movements ▼
1. 12 km South: position is $(0, -12)$. 2. Right turn (facing West) for 7 km: position is $(-7, -12)$. 3. Right turn (facing North) for 14 km: position is $(-7, -12 + 14) = (-7, 2)$. 4. Right turn (facing East) for 10 km: position is $(-7 + 10, 2) = (3, 2)$. 5. Final right turn (facing South) for 2 km: position is $(3, 2 - 2) = (3, 0)$. This is Point P.
Determining Return Path ▼
Point P is at $(3, 0)$ and Point A is at $(0, 0)$. To go from P to A, Pravenesh needs to move from $x=3$ to $x=0$, which is 3 km towards the negative x-direction (West).
Conclusion ▼
He should drive 3 km to the west.
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