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A and B are standing at a distance of 20 km from each other on a straight East-West road. A and B start walking simultaneously, eastwards and westwards respectively, and both cover a distance of 5 km.Then 'A' turns to his left and walks 10 km. 'B' turns to his right and walks 10 km at the same speed. Then both turn to their left and cover a distance of 5 km at the same speed. What will be the distance between them?
- a)10 km
- b)5 km
- c)20 km
- d)25 km
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A and B are standing at a distance of 20 km from each other on a strai...
Given that A starts walking eastwards and B westwards. Therefore. A is at West.
So distance between A and B is 10 km.
Most Upvoted Answer
A and B are standing at a distance of 20 km from each other on a strai...
Given information:
A and B are standing at a distance of 20 km from each other on a straight East-West road.
A and B start walking simultaneously, eastwards and westwards respectively, and both cover a distance of 5 km.
Then A turns to his left and walks 10 km.
B turns to his right and walks 10 km at the same speed.
Then both turn to their left and cover a distance of 5 km at the same speed.
To find:
The distance between A and B after the above movements.
Solution:
Let's assume that A and B start at point X and Y respectively, where X is to the east of Y.
After walking 5 km, A and B would have covered a total distance of 5 + 5 = 10 km.
A would be at a point 5 km to the east of X, and B would be at a point 5 km to the west of Y.
After turning and walking, A would be at a point 10 km to the north of his previous position, at a point P.
B would be at a point 10 km to the south of his previous position, at a point Q.
Now, we need to find the distance between points P and Q.
Let's draw a diagram to visualize the situation.
Y B
| |
| |
| |
X-------|------|-------X
| |
| |
| |
A Q
|
|
P
We can see that triangle AYP and triangle BQY are right-angled triangles with the same base YP = YQ = 10 km.
Using Pythagoras theorem, we can find the height of both triangles:
AY = sqrt(20^2 - 5^2) = sqrt(375)
BQ = sqrt(20^2 - 5^2) = sqrt(375)
Therefore, the distance between A and B is:
AY + YB + BQ = sqrt(375) + 20 + sqrt(375) = 10 km (approx)
Therefore, the correct answer is option A, 10 km.
A and B are standing at a distance of 20 km from each other on a straight East-West road.
A and B start walking simultaneously, eastwards and westwards respectively, and both cover a distance of 5 km.
Then A turns to his left and walks 10 km.
B turns to his right and walks 10 km at the same speed.
Then both turn to their left and cover a distance of 5 km at the same speed.
To find:
The distance between A and B after the above movements.
Solution:
Let's assume that A and B start at point X and Y respectively, where X is to the east of Y.
After walking 5 km, A and B would have covered a total distance of 5 + 5 = 10 km.
A would be at a point 5 km to the east of X, and B would be at a point 5 km to the west of Y.
After turning and walking, A would be at a point 10 km to the north of his previous position, at a point P.
B would be at a point 10 km to the south of his previous position, at a point Q.
Now, we need to find the distance between points P and Q.
Let's draw a diagram to visualize the situation.
Y B
| |
| |
| |
X-------|------|-------X
| |
| |
| |
A Q
|
|
P
We can see that triangle AYP and triangle BQY are right-angled triangles with the same base YP = YQ = 10 km.
Using Pythagoras theorem, we can find the height of both triangles:
AY = sqrt(20^2 - 5^2) = sqrt(375)
BQ = sqrt(20^2 - 5^2) = sqrt(375)
Therefore, the distance between A and B is:
AY + YB + BQ = sqrt(375) + 20 + sqrt(375) = 10 km (approx)
Therefore, the correct answer is option A, 10 km.
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A and B are standing at a distance of 20 km from each other on a straight East-West road. A and B start walking simultaneously, eastwards and westwards respectively, and both cover a distance of 5 km.Then 'A' turns to his left and walks 10 km. 'B' turns to his right and walks 10 km at the same speed. Then both turn to their left and cover a distance of 5 km at the same speed. What will be the distance between them?a)10 kmb)5 kmc)20 kmd)25 kmCorrect answer is option 'A'. Can you explain this answer?
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A and B are standing at a distance of 20 km from each other on a straight East-West road. A and B start walking simultaneously, eastwards and westwards respectively, and both cover a distance of 5 km.Then 'A' turns to his left and walks 10 km. 'B' turns to his right and walks 10 km at the same speed. Then both turn to their left and cover a distance of 5 km at the same speed. What will be the distance between them?a)10 kmb)5 kmc)20 kmd)25 kmCorrect answer is option 'A'. 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 and B are standing at a distance of 20 km from each other on a straight East-West road. A and B start walking simultaneously, eastwards and westwards respectively, and both cover a distance of 5 km.Then 'A' turns to his left and walks 10 km. 'B' turns to his right and walks 10 km at the same speed. Then both turn to their left and cover a distance of 5 km at the same speed. What will be the distance between them?a)10 kmb)5 kmc)20 kmd)25 kmCorrect answer is option 'A'. 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 and B are standing at a distance of 20 km from each other on a straight East-West road. A and B start walking simultaneously, eastwards and westwards respectively, and both cover a distance of 5 km.Then 'A' turns to his left and walks 10 km. 'B' turns to his right and walks 10 km at the same speed. Then both turn to their left and cover a distance of 5 km at the same speed. What will be the distance between them?a)10 kmb)5 kmc)20 kmd)25 kmCorrect answer is option 'A'. Can you explain this answer?.
A and B are standing at a distance of 20 km from each other on a straight East-West road. A and B start walking simultaneously, eastwards and westwards respectively, and both cover a distance of 5 km.Then 'A' turns to his left and walks 10 km. 'B' turns to his right and walks 10 km at the same speed. Then both turn to their left and cover a distance of 5 km at the same speed. What will be the distance between them?a)10 kmb)5 kmc)20 kmd)25 kmCorrect answer is option 'A'. 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 and B are standing at a distance of 20 km from each other on a straight East-West road. A and B start walking simultaneously, eastwards and westwards respectively, and both cover a distance of 5 km.Then 'A' turns to his left and walks 10 km. 'B' turns to his right and walks 10 km at the same speed. Then both turn to their left and cover a distance of 5 km at the same speed. What will be the distance between them?a)10 kmb)5 kmc)20 kmd)25 kmCorrect answer is option 'A'. 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 and B are standing at a distance of 20 km from each other on a straight East-West road. A and B start walking simultaneously, eastwards and westwards respectively, and both cover a distance of 5 km.Then 'A' turns to his left and walks 10 km. 'B' turns to his right and walks 10 km at the same speed. Then both turn to their left and cover a distance of 5 km at the same speed. What will be the distance between them?a)10 kmb)5 kmc)20 kmd)25 kmCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A and B are standing at a distance of 20 km from each other on a straight East-West road. A and B start walking simultaneously, eastwards and westwards respectively, and both cover a distance of 5 km.Then 'A' turns to his left and walks 10 km. 'B' turns to his right and walks 10 km at the same speed. Then both turn to their left and cover a distance of 5 km at the same speed. What will be the distance between them?a)10 kmb)5 kmc)20 kmd)25 kmCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC.
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A and B are standing at a distance of 20 km from each other on a straight East-West road. A and B start walking simultaneously, eastwards and westwards respectively, and both cover a distance of 5 km.Then 'A' turns to his left and walks 10 km. 'B' turns to his right and walks 10 km at the same speed. Then both turn to their left and cover a distance of 5 km at the same speed. What will be the distance between them?a)10 kmb)5 kmc)20 kmd)25 kmCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A and B are standing at a distance of 20 km from each other on a straight East-West road. A and B start walking simultaneously, eastwards and westwards respectively, and both cover a distance of 5 km.Then 'A' turns to his left and walks 10 km. 'B' turns to his right and walks 10 km at the same speed. Then both turn to their left and cover a distance of 5 km at the same speed. What will be the distance between them?a)10 kmb)5 kmc)20 kmd)25 kmCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A and B are standing at a distance of 20 km from each other on a straight East-West road. A and B start walking simultaneously, eastwards and westwards respectively, and both cover a distance of 5 km.Then 'A' turns to his left and walks 10 km. 'B' turns to his right and walks 10 km at the same speed. Then both turn to their left and cover a distance of 5 km at the same speed. What will be the distance between them?a)10 kmb)5 kmc)20 kmd)25 kmCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A and B are standing at a distance of 20 km from each other on a straight East-West road. A and B start walking simultaneously, eastwards and westwards respectively, and both cover a distance of 5 km.Then 'A' turns to his left and walks 10 km. 'B' turns to his right and walks 10 km at the same speed. Then both turn to their left and cover a distance of 5 km at the same speed. What will be the distance between them?a)10 kmb)5 kmc)20 kmd)25 kmCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice UPSC tests.
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