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Sonu started from his house and walked 3 km Eastward, then he turned right and walked 2 km, then again he turned left and walked 1 km.  Again he turned left and walked 3 km, then turned right and walked 2 km. He turned right again and walked 1 km and reached his school. What is the shortest distance between Sonu's house and his school?

  • a)
    12 km                                                     

  • b)
    9km   

  • c)
    5 km                                                       

  • d)
    6 km   

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Sonu started from his house and walked3kmEastward, then he turned righ...
To solve this, let's break down Hemant's movements step by step and visualize his path:
  1. Hemant starts from his house and walks 3 km eastward.
  2. He turns right and walks 2 km south.
  3. He turns left and walks 1 km east.
  4. He turns right and walks 2 km south.
  5. He turns right and walks 1 km west and reaches his school.
Now, let's consider the overall east-west and north-south movement:
  • East-West: Hemant initially walked 3 km east, then 1 km east, and finally 1 km west. So, the net eastward distance is 3 + 1 − 1 = 3 km.
  • North-South: Hemant walked 2 km south, then another 2 km south, so he walked a total of 2 + 2 = 4 km south.
The minimum distance from Hemant’s house to the school can be found using the Pythagorean theorem (since he moved in perpendicular directions):

Thus, the minimum distance between Hemant’s house and his school is: D: 5 km
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Sonu started from his house and walked3kmEastward, then he turned righ...
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Sonu started from his house and walked3kmEastward, then he turned righ...
's house and school?

To find the minimum distance between Hemant's house and school, we can draw a diagram of his movements:

2km
------
| |
| |
| 1km
| |
| |
------
3km 2km

Hemant's house is at the starting point, and his school is at the end point. The total distance he walked is 3 + 2 + 1 + 2 + 1 = 9 km.

To find the minimum distance, we can use the Pythagorean theorem. We need to find the length of the diagonal line connecting Hemant's house and school. This is the hypotenuse of a right triangle with sides of 3 km and 4 km (the horizontal and vertical distance from Hemant's house to the intersection point).

Using the Pythagorean theorem, we get:

c^2 = a^2 + b^2
c^2 = 3^2 + 4^2
c^2 = 9 + 16
c^2 = 25
c = 5 km

Therefore, the minimum distance between Hemant's house and school is 5 km.
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Sonu started from his house and walked3kmEastward, then he turned right and walked2km, then again he turned left and walked1km. Again he turned left and walked3km, then turned right and walked2km. He turned right again and walked1kmand reached his school. What is the shortest distance between Sonus house and his school?a)12 km b)9kmc)5 km d)6 kmCorrect answer is option 'D'. Can you explain this answer?
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Sonu started from his house and walked3kmEastward, then he turned right and walked2km, then again he turned left and walked1km. Again he turned left and walked3km, then turned right and walked2km. He turned right again and walked1kmand reached his school. What is the shortest distance between Sonus house and his school?a)12 km b)9kmc)5 km d)6 kmCorrect answer is option 'D'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Sonu started from his house and walked3kmEastward, then he turned right and walked2km, then again he turned left and walked1km. Again he turned left and walked3km, then turned right and walked2km. He turned right again and walked1kmand reached his school. What is the shortest distance between Sonus house and his school?a)12 km b)9kmc)5 km d)6 kmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sonu started from his house and walked3kmEastward, then he turned right and walked2km, then again he turned left and walked1km. Again he turned left and walked3km, then turned right and walked2km. He turned right again and walked1kmand reached his school. What is the shortest distance between Sonus house and his school?a)12 km b)9kmc)5 km d)6 kmCorrect answer is option 'D'. Can you explain this answer?.
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