'A' and 'B' start from the same place and walk in opposite directions, each traveling 20 m. 'A' then turns right and walks 15 m. 'B' turns left and walks 15 m. How far are they now from each other?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 40 m
Let the starting point be O.
Step 1: Initial movement
- A walks 20 m in one direction (say east).
- B walks 20 m in the opposite direction (west).
So, the distance between A and B = 20 + 20 = 40 m.
Step 2: Turning
- A turns right and walks 15 m (towards south).
- B turns left and walks 15 m (also towards south).
Both move parallel in the same direction, so their vertical separation remains the same.
Step 3: Calculate final distance
- Horizontal distance between them = 40 m
- Vertical distance = 0 m (both moved 15 m south)
$\text{Distance} = \sqrt{40^2 + 0^2} = 40 \text{ m}$