Ramesh covers a distance of 10 m towards East from his house, then turns right…
2013
Ramesh covers a distance of 10 m towards East from his house, then turns right and walks 10 m. Then turning left he walks 5 m, and then again turning left he walks 15 m. Now he turns left and walks 15 m. How far is he standing from his house now?
- A.
10 m
- B.
15 m
- C.
20 m
- D.
5 m
Show answer & explanation
Correct answer: D
Set the house at the origin and take East as the +x direction, North as +y. Trace each move:
1) 10 m East -> reach (10, 0).
2) Turn right (now facing South), 10 m -> reach (10, -10).
3) Turn left (now facing East), 5 m -> reach (15, -10).
4) Turn left (now facing North), 15 m -> reach (15, 5).
5) Turn left (now facing West), 15 m -> reach (0, 5).
The final point (0, 5) lies directly North of the house, so the straight-line distance from the house is 5 m.