'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?
'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?
Solution
✅ Correct Option: 1
Let the starting point be the origin O at coordinates (0, 0).
A and B walk in opposite directions, each traveling 20 m:
- A walks 20 m in one direction (say, east)
- B walks 20 m in the opposite direction (west)
Positions after first movement:
- A is at (20, 0)
- B is at (-20, 0)
A turns right and walks 15 m:
- A was walking east, so turning right means walking south
- A's new position: (20, -15)
B turns left and walks 15 m:
- B was walking west, so turning left means walking south
- B's new position: (-20, -15)
The distance between A at (20, -15) and B at (-20, -15) is:
m
Therefore, A and B are 40 m apart from each other.
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