Nilesh went 15 km to the west from my house then turned left and walke...
The movements of Nilesh are as shown in figure
∴ Nilesh distance from his house at A.
AE = (BE – BA)
= (CD – BA)
= (25 – 15) m = 10 m
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Nilesh went 15 km to the west from my house then turned left and walke...
Understanding Nilesh's Journey
To determine how far Nilesh is from his starting point (his house), we will break down his movements step by step.
Step 1: Initial Movement
- Nilesh walks 15 km to the west from his house.
Step 2: First Turn
- He then turns left. Since he was heading west, turning left means he is now heading south.
- He walks 20 km south.
Step 3: Second Turn
- Next, he turns east and walks 25 km.
- At this point, he has moved 25 km east from his last position (which was 20 km south of his last point).
Step 4: Final Turn
- Finally, he turns left again. This means he is now heading north.
- He walks 20 km north.
Final Position Calculation
Now, let’s visualize Nilesh's final position:
- From his original position, he moved:
- 15 km west
- 20 km south
- 25 km east
- 20 km north
Net Movements
- West-East Movement:
- 15 km west and 25 km east means a net movement of 10 km east (25 - 15 = 10 km).
- North-South Movement:
- He moved 20 km south and then 20 km north which cancels each other out, resulting in 0 km movement in the north-south direction.
Conclusion
Thus, Nilesh is 10 km east from his starting position (his house). Therefore, the correct answer is option 'B' - 10 km.