Study the following information carefully and answer the given questions:
A boy who is facing north walks 5 m towards his left from point A and reaches at point B. Now he walks 8 m south direction and reaches at point
What is the shortest distance between his starting point and ending point?
C. From point C he takes three consecutive right turns 2 m, 4 m and 7 m respectively and reaches at point G. From point G he takes his right turn and reaches at point H after cover 4 m.
Correct Answer :
8 m
Solution :
The correct option is 8 m.
Let us trace the path of the boy step-by-step starting from point A:
1. Starting Point A: The boy is initially facing North at point A.
2. Movement 1 (A to B): He walks 5 m towards his left (which is West, since he is facing North) and reaches point B.
- Position of B relative to A: 5 m West of A.
3. Movement 2 (B to C): From point B, he walks 8 m in the South direction to reach point C.
- Position of C relative to A: 5 m West and 8 m South of A.
4. Movement 3 (C to G via consecutive right turns): From point C (facing South), he takes three consecutive right turns:
- 1st Right Turn: Facing West, walks 2 m.
- 2nd Right Turn: Facing North, walks 4 m.
- 3rd Right Turn: Facing East, walks 7 m.
- After this, he reaches point G.
- Let's verify the horizontal distance of G relative to A:
Starting at A, moving 5 m West to B, then from C moving 2 m West (total 7 m West), then 7 m East to G.
Thus, point G lies on the exact vertical line aligned with starting point A (0 m West/East offset).
- Let's verify the vertical distance of G relative to A:
From B (aligned horizontally with A), he moved 8 m South to C, then 4 m North to G.
Thus, point G is 8 m - 4 m = 4 m South of A.
5. Movement 4 (G to H): From point G (currently facing East after the 3rd right turn), he takes a right turn (facing South) and covers 4 m to reach point H.
- Position of H relative to A:
Horizontal distance = 0 m (remains on the vertical line through A).
Vertical distance = 4 m South + 4 m South = 8 m South of A.
Shortest distance calculation:
The starting point is A and the final ending point is H.
Since point H lies directly 8 m South of point A along a straight line, the shortest distance between his starting point (A) and ending point (H) is:
Access expert-curated educational resources and study materials—completely free.
Create, conduct, and manage professional online assessments with Mindyard. Perfect for teachers and institutes.
Copyright © 2026 Mindyard. All Rights Reserved.