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Direction: Study the information carefully and answer the questions given below.
P is standing north of Q at a distance of 6m. R is standing toward east of P at a distance of 6m. R is to the north of S and distance between them is 6m. P is facing north direction, R is facing east, S is facing North and Q is facing towards west direction. All of them walk straight for 3m.
What is the distance between the final position of P and Q?
  • a)
    10√3 m
  • b)
    9 m
  • c)
    6 m
  • d)
    3√10 m
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Direction: Study the information carefully and answer the questions g...
Given information:
- P is standing north of Q at a distance of 6m.
- R is standing toward east of P at a distance of 6m.
- R is to the north of S and the distance between them is 6m.
- P is facing the north direction, R is facing east, S is facing north, and Q is facing west direction.
- All of them walk straight for 3m.

Analysis:
- We need to find the distance between the final positions of P and Q.
- Since P and Q walk straight for 3m, their final positions will be determined by their initial positions and the direction they are facing.

Steps to find the final position of P:
1. P is initially standing north of Q at a distance of 6m. So, the initial position of P can be represented as (0, 6).
2. P walks straight for 3m in the north direction. So, the final position of P can be represented as (0, 6+3) = (0, 9).
3. P is facing the north direction, so its final position will be (0, 9) in the coordinate system.

Steps to find the final position of Q:
1. Q is initially standing west of P. So, the initial position of Q can be represented as (-6, 0).
2. Q walks straight for 3m in the west direction. So, the final position of Q can be represented as (-6-3, 0) = (-9, 0).
3. Q is facing the west direction, so its final position will be (-9, 0) in the coordinate system.

Distance between the final positions of P and Q:
- Using the distance formula, we can calculate the distance between two points in a coordinate system.
- The distance between the final position of P (0, 9) and the final position of Q (-9, 0) is given by:
distance = sqrt((0-(-9))^2 + (9-0)^2)
distance = sqrt(9^2 + 9^2)
distance = sqrt(81 + 81)
distance = sqrt(162)
distance = sqrt(9 * 18)
distance = 3 * sqrt(18)
distance = 3 * sqrt(9 * 2)
distance = 3 * sqrt(9) * sqrt(2)
distance = 3 * 3 * sqrt(2)
distance = 9 * sqrt(2)

Therefore, the distance between the final positions of P and Q is 9 * sqrt(2) or approximately 12.73 meters.

Hence, the correct answer is option D) 3√10 m.
Free Test
Community Answer
Direction: Study the information carefully and answer the questions g...
Let T be the final position of P and L be the final position of Q.
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Direction: Study the information carefully and answer the questions given below.P is standing north of Q at a distance of 6m. R is standing toward east of P at a distance of 6m. R is to the north of S and distance between them is 6m. P is facing north direction, R is facing east, S is facing North and Q is facing towards west direction. All of them walk straight for 3m.What is the distance between the final position of P and Q?a)10√3 mb)9 mc)6 md)3√10 mCorrect answer is option 'D'. Can you explain this answer?
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