Question:medium
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?
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?
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Use coordinates to solve multi-turn direction problems.
Updated On: Mar 24, 2026
- 2 km
- 3 km
- 4 km
- 5 km
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The Correct Option is B
Solution and Explanation
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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