1
Question
A man walked 3 km towards North then 8 km towards South, then 3.5 km north, then 2.5 km south, then 5 km north. What is his final position with respect to his initial position?
A man walked 3 km towards North then 8 km towards South, then 3.5 km north, then 2.5 km south, then 5 km north. What is his final position with respect to his initial position?
Open in App
Solution
The correct option is C 1 km towards north
The north direction can be taken as positive and south direction as negative.
Then walking 3 km towards north can be taken as + 3 km.
Walking 8 km towards south can be taken as - 8 km.
The position now = + 3 - 8 = - 5 km.
Then walking 3.5 km towards north can be taken as + 3.5 km.
The position now = - 5 + 3.5 = - 1.5 km.
Then walking 2.5 km towards south can be taken as - 2.5 km.
The position now = - 1.5 - 2.5 = - 4 km.
Then walking 5 km towards north can be taken as + 5 km.
The final position = - 4 + 5 = 1 km.
So, the man stands 1 km north with respect to initial position.
The man's final position is 1 km to the north with respect to his initial position.
The north direction can be taken as positive and south direction as negative.
Then walking 3 km towards north can be taken as + 3 km.
Walking 8 km towards south can be taken as - 8 km.
The position now = + 3 - 8 = - 5 km.
Then walking 3.5 km towards north can be taken as + 3.5 km.
The position now = - 5 + 3.5 = - 1.5 km.
Then walking 2.5 km towards south can be taken as - 2.5 km.
The position now = - 1.5 - 2.5 = - 4 km.
Then walking 5 km towards north can be taken as + 5 km.
The final position = - 4 + 5 = 1 km.
So, the man stands 1 km north with respect to initial position.
The man's final position is 1 km to the north with respect to his initial position.
Suggest Corrections
0
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
