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Nilesh went 15 km to the west from my house then turned left and walked 20 km. Then turned east and walked 25 km and finally turning left covered 20 km. How far was he from his house?
  • a)
    5 km
  • b)
    10 km
  • c)
    60 km
  • d)
    40 km 
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Nilesh went 15 km to the west from my house then turned left and walke...
The movements of Nilesh are as shown in fig.

∴ Nilesh distance from his house at A.
AE = (BE – BA) 
= (CD – BA) 
= (25 – 15) m = 10 m   
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Most Upvoted Answer
Nilesh went 15 km to the west from my house then turned left and walke...
To find out how far Nilesh is from his house, we need to calculate the distance he traveled in each direction and then determine the net distance.

Given information:
- Nilesh went 15 km to the west from his house.
- He then turned left and walked 20 km.
- He turned east and walked 25 km.
- Finally, he turned left and covered 20 km.

Calculating the distance traveled in each direction:
- West: 15 km
- Left: 20 km
- East: 25 km
- Left: 20 km

Calculating the net distance:
To calculate the net distance, we need to consider the direction and magnitude of each distance traveled.

- West (-15 km) + Left (-20 km) + East (+25 km) + Left (-20 km)
= -15 km - 20 km + 25 km - 20 km
= -15 km - 20 km - 20 km + 25 km
= -35 km + 5 km
= -30 km

Since the net distance is negative (-30 km), it means Nilesh is 30 km to the west of his starting point (house).

However, the question asks for the distance from his house, which is always considered positive. Therefore, we take the absolute value of the net distance.

| -30 km | = 30 km

Thus, Nilesh is 30 km away from his house.

Therefore, the correct answer is option B) 10 km.

Note: It's important to pay attention to the directions given in the question and carefully calculate the net distance by considering the direction and magnitude of each distance traveled.
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Nilesh went 15 km to the west from my house then turned left and walked 20 km. Then turned east and walked 25 km and finally turning left covered 20 km. How far was he from his house?a)5 kmb)10 kmc)60 kmd)40 kmCorrect answer is option 'B'. Can you explain this answer?
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