A man starting from his home walks 3 km towards east, and then he turns left and goes 4 km. again, he turns to his right and walks 3 km and then he turns left and goes 4 km. now find the distance between the man and his home?

General
1

a man starting from his home walks 3 km towards east, and then he turns left and goes 4 km. again, he turns to his right and walks 3 km and then he turns left and goes 4 km. now find the distance between the man and his home?

2

a man starting from his home walks 3 km towards east, and then he turns left and goes 4 km. again, he turns to his right and walks 3 km and then he turns left and goes 4 km. now find the distance between the man and his home?

Answer: Let’s break down the man’s movements step by step:

  1. He starts from his home.
  2. He walks 3 km towards east.
  3. Then, he turns left (which is a 90° anticlockwise turn) and walks 4 km.
  4. He turns right (which is a 90° clockwise turn) and walks 3 km.
  5. Finally, he turns left (which is a 90° anticlockwise turn) and walks 4 km.

Let’s analyze the overall movements in terms of cardinal directions:

  1. Starting from home.
  2. Walks 3 km east.
  3. Walks 4 km north (left from east).
  4. Walks 3 km west (right from north).
  5. Walks 4 km south (left from west).

The total north-south displacement cancels out because he walked 4 km north and then 4 km south. Similarly, the total east-west displacement cancels out because he walked 3 km east and then 3 km west.

Therefore, the net displacement is 0 in both the north-south and east-west directions.

Since the net displacement is 0, the man’s final position is exactly at his home. Hence, the distance between the man and his home is 0 km.