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'A' started from his house and walked 20 m towards East, where his friend 'B' joined him. They together walked 10 m in the same direction. Then 'A' turned left while 'B' turned right and travelled 2 m and 8 m respectively. Again 'B' turned left to travel 4 m followed by 5 m to his right to reach his office. 'A' turned right and travelled 12 m to reach his office. What is the shortest distance between the two offices?
a)15 m
b)17 m
c)19 m
d)20 m
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
'A' started from his house and walked 20 m towards East, where his fri...
Using Pythagoras Theorem in triangle, PQR
Shortest Distance = Hypotenuse = √(152+82 )=√(225+64)=√289=17.
Most Upvoted Answer
'A' started from his house and walked 20 m towards East, where his fri...
Solution:
To find the shortest distance between the two offices, we need to draw a diagram and find the distance between the two points.
Let's represent 'A's house as point A, 'B's joining point as point B and 'A's office as point C and 'B's office as point D.
First, 'A' started from his house and walked 20 m towards East, where his friend 'B' joined him. They together walked 10 m in the same direction.
So,
A → B = 20 m (towards East)
B → C = 10 m (towards East)
Now, 'A' turned left while 'B' turned right and travelled 2 m and 8 m respectively.
So,
B → E = 8 m (towards South)
A → F = 2 m (towards North)
Again 'B' turned left to travel 4 m followed by 5 m to his right to reach his office.
So,
E → D = 5 m (towards North)
E → G = 4 m (towards West)
Now, 'A' turned right and travelled 12 m to reach his office.
So,
F → C = 12 m (towards East)
Therefore, the diagram would look like:
```
D
|
|
E
|
|
G----B----C
| |
| |
| |
F----A----|
```
To find the shortest distance between the two offices (C and D), we need to find the distance between points C and D.
Using Pythagoras theorem,
CD² = BC² + BD²
CD² = 10² + (8+5)²
CD² = 100 + 169
CD = √269
CD ≈ 16.4 m
Therefore, the shortest distance between the two offices is approximately 16.4 m, which is closest to option (B) 17 m.
To find the shortest distance between the two offices, we need to draw a diagram and find the distance between the two points.
Let's represent 'A's house as point A, 'B's joining point as point B and 'A's office as point C and 'B's office as point D.
First, 'A' started from his house and walked 20 m towards East, where his friend 'B' joined him. They together walked 10 m in the same direction.
So,
A → B = 20 m (towards East)
B → C = 10 m (towards East)
Now, 'A' turned left while 'B' turned right and travelled 2 m and 8 m respectively.
So,
B → E = 8 m (towards South)
A → F = 2 m (towards North)
Again 'B' turned left to travel 4 m followed by 5 m to his right to reach his office.
So,
E → D = 5 m (towards North)
E → G = 4 m (towards West)
Now, 'A' turned right and travelled 12 m to reach his office.
So,
F → C = 12 m (towards East)
Therefore, the diagram would look like:
```
D
|
|
E
|
|
G----B----C
| |
| |
| |
F----A----|
```
To find the shortest distance between the two offices (C and D), we need to find the distance between points C and D.
Using Pythagoras theorem,
CD² = BC² + BD²
CD² = 10² + (8+5)²
CD² = 100 + 169
CD = √269
CD ≈ 16.4 m
Therefore, the shortest distance between the two offices is approximately 16.4 m, which is closest to option (B) 17 m.
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'A' started from his house and walked 20 m towards East, where his friend 'B' joined him. They together walked 10 m in the same direction. Then 'A' turned left while 'B' turned right and travelled 2 m and 8 m respectively. Again 'B' turned left to travel 4 m followed by 5 m to his right to reach his office. 'A' turned right and travelled 12 m to reach his office. What is the shortest distance between the two offices?a)15 mb)17 mc)19 md)20 mCorrect answer is option 'B'. Can you explain this answer?
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'A' started from his house and walked 20 m towards East, where his friend 'B' joined him. They together walked 10 m in the same direction. Then 'A' turned left while 'B' turned right and travelled 2 m and 8 m respectively. Again 'B' turned left to travel 4 m followed by 5 m to his right to reach his office. 'A' turned right and travelled 12 m to reach his office. What is the shortest distance between the two offices?a)15 mb)17 mc)19 md)20 mCorrect answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 'A' started from his house and walked 20 m towards East, where his friend 'B' joined him. They together walked 10 m in the same direction. Then 'A' turned left while 'B' turned right and travelled 2 m and 8 m respectively. Again 'B' turned left to travel 4 m followed by 5 m to his right to reach his office. 'A' turned right and travelled 12 m to reach his office. What is the shortest distance between the two offices?a)15 mb)17 mc)19 md)20 mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 'A' started from his house and walked 20 m towards East, where his friend 'B' joined him. They together walked 10 m in the same direction. Then 'A' turned left while 'B' turned right and travelled 2 m and 8 m respectively. Again 'B' turned left to travel 4 m followed by 5 m to his right to reach his office. 'A' turned right and travelled 12 m to reach his office. What is the shortest distance between the two offices?a)15 mb)17 mc)19 md)20 mCorrect answer is option 'B'. Can you explain this answer?.
'A' started from his house and walked 20 m towards East, where his friend 'B' joined him. They together walked 10 m in the same direction. Then 'A' turned left while 'B' turned right and travelled 2 m and 8 m respectively. Again 'B' turned left to travel 4 m followed by 5 m to his right to reach his office. 'A' turned right and travelled 12 m to reach his office. What is the shortest distance between the two offices?a)15 mb)17 mc)19 md)20 mCorrect answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 'A' started from his house and walked 20 m towards East, where his friend 'B' joined him. They together walked 10 m in the same direction. Then 'A' turned left while 'B' turned right and travelled 2 m and 8 m respectively. Again 'B' turned left to travel 4 m followed by 5 m to his right to reach his office. 'A' turned right and travelled 12 m to reach his office. What is the shortest distance between the two offices?a)15 mb)17 mc)19 md)20 mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 'A' started from his house and walked 20 m towards East, where his friend 'B' joined him. They together walked 10 m in the same direction. Then 'A' turned left while 'B' turned right and travelled 2 m and 8 m respectively. Again 'B' turned left to travel 4 m followed by 5 m to his right to reach his office. 'A' turned right and travelled 12 m to reach his office. What is the shortest distance between the two offices?a)15 mb)17 mc)19 md)20 mCorrect answer is option 'B'. Can you explain this answer?.
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'A' started from his house and walked 20 m towards East, where his friend 'B' joined him. They together walked 10 m in the same direction. Then 'A' turned left while 'B' turned right and travelled 2 m and 8 m respectively. Again 'B' turned left to travel 4 m followed by 5 m to his right to reach his office. 'A' turned right and travelled 12 m to reach his office. What is the shortest distance between the two offices?a)15 mb)17 mc)19 md)20 mCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for 'A' started from his house and walked 20 m towards East, where his friend 'B' joined him. They together walked 10 m in the same direction. Then 'A' turned left while 'B' turned right and travelled 2 m and 8 m respectively. Again 'B' turned left to travel 4 m followed by 5 m to his right to reach his office. 'A' turned right and travelled 12 m to reach his office. What is the shortest distance between the two offices?a)15 mb)17 mc)19 md)20 mCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of 'A' started from his house and walked 20 m towards East, where his friend 'B' joined him. They together walked 10 m in the same direction. Then 'A' turned left while 'B' turned right and travelled 2 m and 8 m respectively. Again 'B' turned left to travel 4 m followed by 5 m to his right to reach his office. 'A' turned right and travelled 12 m to reach his office. What is the shortest distance between the two offices?a)15 mb)17 mc)19 md)20 mCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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