Question

Sangeet takes a right turn and moves for 5 km. He then turns left and walks for 15 km. He now takes a right turn and walks for 20 km. He again takes a right turn and walks for 15 km. He ultimately takes a right turn and walks for 10 km and stops. Where is he in comparison with his starting point?

• A. 15 km east
• B. 15 km west
• C. 5 km east
• D. 5 km west

Hint:

In direction-sense problems, always assume an initial direction (usually north) unless stated otherwise, and track each turn carefully using a step-by-step approach.

Answer 1

The Correct Option is A

Step 1: Assume the initial direction.
It is assumed that Sangeet is initially facing the north direction. This assumption is necessary to correctly determine the directions after each turn.
Step 2: Trace the movement step by step.
- Facing north, he takes a right turn and walks 5 km → He moves east 5 km.
- He then turns left and walks 15 km → From east, a left turn means north 15 km.
- He now takes a right turn and walks 20 km → From north, a right turn means east 20 km.
- He again takes a right turn and walks 15 km → From east, a right turn means south 15 km.
- Finally, he takes a right turn and walks 10 km → From south, a right turn means west 10 km.
Step 3: Calculate the net displacement.
- Total eastward movement = \( 5 + 20 = 25 \) km
- Total westward movement = \( 10 \) km
- Net eastward displacement = \( 25 - 10 = 15 \) km
- Total northward movement = \( 15 \) km
- Total southward movement = \( 15 \) km
- Net north-south displacement = \( 0 \) km
Step 4: Conclusion.
Since there is no net north-south displacement and a net movement of 15 km towards the east, Sangeet is 15 km east of his starting point.