A right-angled walk — Direction Sense Aptitude Question
A right-angled walk: Ravi walks 6 km east, then 8 km north. How far is he from his starting point? Answer and worked solution on CodeKairo.
- Topic: Direction Sense
- Section: Logical Reasoning
- Difficulty: Easy
- Time target: 40 seconds
Question
Ravi walks 6 km east, then 8 km north. How far is he from his starting point?
Options
- 10 km
- 12 km
- 14 km
- 48 km
Show the answer and the worked solution
Correct answer: A. 10 km
Worked solution
- The displacement is the hypotenuse: √(36 + 64) = √100 = 10 km.
Answer: 10 km.
The idea
Perpendicular legs mean Pythagoras. Watch for the 3-4-5 family (6-8-10 here) and the answer needs no square root.
Shortcut. The distance must be under 6 + 8 = 14 and over 8; 6-8-10 is the 3-4-5 triangle doubled.
Common trap. 14 km — adding the two legs, which is the distance walked, not the straight-line distance from the start.