A man starts walking from his house towards north and covers 15.5 km and then…
2024
A man starts walking from his house towards north and covers 15.5 km and then turns left and walks 7 km. He then turns left again and after walking 31 km again turns left and stops after 7 km. How far is he from his house?
- A.
16
- B.
20.5
- C.
15.5
- D.
11
Attempted by 554 students.
Show answer & explanation
Correct answer: C
Key idea: track the position using coordinates and follow each turn.
Start at the house at (0,0). Walk north 15.5 km → (0,15.5).
Turn left (west) and walk 7 km → (-7,15.5).
Turn left again (south) and walk 31 km → (-7,-15.5).
Turn left once more (east) and walk 7 km → (0,-15.5).
Result: The final position is (0,-15.5). The straight-line distance from the house at (0,0) to (0,-15.5) is 15.5 km.