A man walks 2 km East from his house and then turns to his left and walks 3 km. Further he turns to his left and walks 2 km. Now, how far is he from his house?

Question

A man walks 4 km West and turns right to walk 3 km. Where is he now from the starting point?

Answer 1

To determine how far the man is from his house, let's analyze his path step-by-step:

The man starts at his house and walks 2 km East.
He then turns to his left and walks 3 km. Turning left from East, he would now be heading North.
He turns to his left again and walks 2 km. Turning left from North, he is now heading West.

Let's examine his final position relative to his starting point:

Initially, he walked 2 km East. He then walked 2 km West, effectively cancelling out his Eastward movement. Thus, in the East-West direction, his net movement is 0 km.
He walked 3 km North and did not make any Southward movement. Therefore, in the North-South direction, he is 3 km North of his starting position.

Hence, the distance from his house is simply the 3 km he is north of the initial starting point. Thus, the correct answer is:

3 km

Answer 2

To determine how far the man is from his house, let's analyze his path step-by-step:

The man starts at his house and walks 2 km East.
He then turns to his left and walks 3 km. Turning left from East, he would now be heading North.
He turns to his left again and walks 2 km. Turning left from North, he is now heading West.

Let's examine his final position relative to his starting point:

Initially, he walked 2 km East. He then walked 2 km West, effectively cancelling out his Eastward movement. Thus, in the East-West direction, his net movement is 0 km.
He walked 3 km North and did not make any Southward movement. Therefore, in the North-South direction, he is 3 km North of his starting position.

Hence, the distance from his house is simply the 3 km he is north of the initial starting point. Thus, the correct answer is:

3 km

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