A boy moves 3 km North, then turns right and moves 4 km, then turns right again and moves 3 km. How far is he from the starting point?

Question

Mr. X starts walking from his house towards west. After walking a distance of 30 metres, he turned towards right and walked 20 metres. He then turned left and moving a distance of 10 metres, turned to his left again and walked 40 metres. He now turns to the left and walks 5 metres. Finally he turns to his left. In which direction is he walking now ?

Answer 1

Step 1: Starting point established; move 3 km North.
Step 2: Execute a 90-degree right turn (facing East); proceed 4 km.
Step 3: Execute another 90-degree right turn (facing South); travel 3 km.
This action realigns the subject with the initial horizontal plane.
Step 4: Calculate resultant displacement:
North-South displacement: \(3 - 3 = 0\) km (horizontal alignment achieved with origin)
East-West displacement: 4 km Eastward
Step 5: Final distance from the origin point = 4 km.

A boy moves 3 km North, then turns right and moves 4 km, then turns right again and moves 3 km. How far is he from the starting point?

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The Correct Option is B

Solution and Explanation

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