Naomi runs for 10 km in the eastern direction. She then turns left and starts…
2025
Naomi runs for 10 km in the eastern direction. She then turns left and starts walking for 6 km. Again, she turns left and starts running for 6 km. Then she turns left and walks again for 6 km. How far is she from the starting point?
- A.
4 km
- B.
5 km
- C.
6 km
- D.
3 km
Attempted by 18 students.
Show answer & explanation
Correct answer: A
Explanation:
Place the starting point at the origin (0,0).
After running 10 km east: position is (10,0).
Turn left (north) and walk 6 km: position becomes (10,6).
Turn left (west) and run 6 km: position becomes (4,6).
Turn left (south) and walk 6 km: final position is (4,0).
Now compute the distance from the start (0,0) to the final position (4,0).
Distance = sqrt((4-0)^2 + (0-0)^2) = sqrt(16) = 4 km.