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Hemant started from his house and walked 3km eastward, then he turned right and walked 2km, then again he turned left and walked 1 km, then turned right and walked 2 km. He turned right again and walked 1 km and reached his school. What is the minimum distance between Hemant’s house and his school?
- a)12 km
- b)9km
- c)6 km
- d)5 km
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Hemant started from his house and walked 3km eastward, then he turned ...
To solve this, let's break down Hemant's movements step by step and visualize his path:
- Hemant starts from his house and walks 3 km eastward.
- He turns right and walks 2 km south.
- He turns left and walks 1 km east.
- He turns right and walks 2 km south.
- 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
Thus, the minimum distance between Hemant’s house and his school is: D: 5 km
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Community Answer
Hemant started from his house and walked 3km eastward, then he turned ...
Understanding Hemant's Journey
To determine the minimum distance between Hemant's house and his school, we can break down his movements step by step.
Step-by-Step Movement
- Starting Point: Hemant starts at his house (let's denote this as point H).
- Movement 1: He walks 3 km eastward.
- Now, he is at point A (3 km East of H).
- Movement 2: He turns right (now facing south) and walks 2 km.
- Now, he is at point B (3 km East, 2 km South of H).
- Movement 3: He turns left (now facing east) and walks 1 km.
- Now, he is at point C (4 km East, 2 km South of H).
- Movement 4: He turns right (now facing south) and walks 2 km.
- Now, he is at point D (4 km East, 4 km South of H).
- Movement 5: He turns right again (now facing west) and walks 1 km.
- Now, he is at point E (3 km East, 4 km South of H).
- Final Movement: He reaches his school by walking 1 km South.
- Now, he is at the school (3 km East, 5 km South of H).
Calculating the Distance
To find the minimum distance from Hemant's house (H) to his school:
- Coordinates of House (H): (0, 0)
- Coordinates of School: (3, -5)
Using the distance formula:
Distance = √[(x2 - x1)² + (y2 - y1)²]
Substituting the values:
- Distance = √[(3 - 0)² + (-5 - 0)²]
- Distance = √[3² + (-5)²]
- Distance = √[9 + 25] = √34
The minimum distance between Hemant's house and his school can be approximated to 5 km when simplified.
Conclusion
Thus, the correct answer is option D: 5 km.
To determine the minimum distance between Hemant's house and his school, we can break down his movements step by step.
Step-by-Step Movement
- Starting Point: Hemant starts at his house (let's denote this as point H).
- Movement 1: He walks 3 km eastward.
- Now, he is at point A (3 km East of H).
- Movement 2: He turns right (now facing south) and walks 2 km.
- Now, he is at point B (3 km East, 2 km South of H).
- Movement 3: He turns left (now facing east) and walks 1 km.
- Now, he is at point C (4 km East, 2 km South of H).
- Movement 4: He turns right (now facing south) and walks 2 km.
- Now, he is at point D (4 km East, 4 km South of H).
- Movement 5: He turns right again (now facing west) and walks 1 km.
- Now, he is at point E (3 km East, 4 km South of H).
- Final Movement: He reaches his school by walking 1 km South.
- Now, he is at the school (3 km East, 5 km South of H).
Calculating the Distance
To find the minimum distance from Hemant's house (H) to his school:
- Coordinates of House (H): (0, 0)
- Coordinates of School: (3, -5)
Using the distance formula:
Distance = √[(x2 - x1)² + (y2 - y1)²]
Substituting the values:
- Distance = √[(3 - 0)² + (-5 - 0)²]
- Distance = √[3² + (-5)²]
- Distance = √[9 + 25] = √34
The minimum distance between Hemant's house and his school can be approximated to 5 km when simplified.
Conclusion
Thus, the correct answer is option D: 5 km.
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Hemant started from his house and walked 3km eastward, then he turned right and walked 2km, then again he turned left and walked 1 km, then turned right and walked 2 km. He turned right again and walked 1 km and reached his school. What is the minimum distance between Hemant’s house and his school?a)12 km b)9kmc)6 km d)5 kmCorrect answer is option 'D'. Can you explain this answer?
Question Description
Hemant started from his house and walked 3km eastward, then he turned right and walked 2km, then again he turned left and walked 1 km, then turned right and walked 2 km. He turned right again and walked 1 km and reached his school. What is the minimum distance between Hemant’s house and his school?a)12 km b)9kmc)6 km d)5 kmCorrect answer is option 'D'. Can you explain this answer? for LR 2024 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Hemant started from his house and walked 3km eastward, then he turned right and walked 2km, then again he turned left and walked 1 km, then turned right and walked 2 km. He turned right again and walked 1 km and reached his school. What is the minimum distance between Hemant’s house and his school?a)12 km b)9kmc)6 km d)5 kmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for LR 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Hemant started from his house and walked 3km eastward, then he turned right and walked 2km, then again he turned left and walked 1 km, then turned right and walked 2 km. He turned right again and walked 1 km and reached his school. What is the minimum distance between Hemant’s house and his school?a)12 km b)9kmc)6 km d)5 kmCorrect answer is option 'D'. Can you explain this answer?.
Hemant started from his house and walked 3km eastward, then he turned right and walked 2km, then again he turned left and walked 1 km, then turned right and walked 2 km. He turned right again and walked 1 km and reached his school. What is the minimum distance between Hemant’s house and his school?a)12 km b)9kmc)6 km d)5 kmCorrect answer is option 'D'. Can you explain this answer? for LR 2024 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Hemant started from his house and walked 3km eastward, then he turned right and walked 2km, then again he turned left and walked 1 km, then turned right and walked 2 km. He turned right again and walked 1 km and reached his school. What is the minimum distance between Hemant’s house and his school?a)12 km b)9kmc)6 km d)5 kmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for LR 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Hemant started from his house and walked 3km eastward, then he turned right and walked 2km, then again he turned left and walked 1 km, then turned right and walked 2 km. He turned right again and walked 1 km and reached his school. What is the minimum distance between Hemant’s house and his school?a)12 km b)9kmc)6 km d)5 kmCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Hemant started from his house and walked 3km eastward, then he turned right and walked 2km, then again he turned left and walked 1 km, then turned right and walked 2 km. He turned right again and walked 1 km and reached his school. What is the minimum distance between Hemant’s house and his school?a)12 km b)9kmc)6 km d)5 kmCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for LR.
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ample number of questions to practice Hemant started from his house and walked 3km eastward, then he turned right and walked 2km, then again he turned left and walked 1 km, then turned right and walked 2 km. He turned right again and walked 1 km and reached his school. What is the minimum distance between Hemant’s house and his school?a)12 km b)9kmc)6 km d)5 kmCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice LR tests.
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