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X and Y started from a fixed point. X moves towards North and after walking 3 km turns to his right and covers 4 km. Y moves towards West and walks 5 km and then turns to his right and walks 3 km. How far X and Y are from each other?
  • a)
    5km                    
  • b)
    9km
  • c)
    6km                    
  • d)
    10km
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
X and Y started from a fixed point. X moves towards North and after wa...
According to the question, we have to make a diagram as drawn below to show the direction and the distance travelled by the person.

Here, Point M and point K is final position of X and Y respectively and point M is west of point K. So the shortest distance between X final position and Y's final position is
4 km + 5 km = 9 km
Hence, the correct answer is 9 Km
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Most Upvoted Answer
X and Y started from a fixed point. X moves towards North and after wa...
To find out how far X and Y are from each other, we can plot their movements on a coordinate plane.

Let's assume the starting point as the origin (0,0). X moves towards the North, which means it moves along the positive y-axis. After walking 3 km, X turns to its right (clockwise) and covers 4 km. This means X moves 4 km along the positive x-axis. So, the final position of X is (4,3).

Y moves towards the West, which means it moves along the negative x-axis. After walking 5 km, Y turns to its right and covers 3 km. This means Y moves 3 km along the negative y-axis. So, the final position of Y is (-5,-3).

Using the distance formula, we can calculate the distance between the final positions of X and Y:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values:
Distance = √((4 - (-5))^2 + (3 - (-3))^2)
= √(9^2 + 6^2)
= √(81 + 36)
= √117
≈ 10.82

Rounding off to the nearest whole number, the distance between X and Y is approximately 11 km.

Therefore, the correct answer is option 'B' - 9 km.
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Community Answer
X and Y started from a fixed point. X moves towards North and after wa...
First X move 3km north then turn his right and move 4km.,
y first move towards his west 5km,then turn his right 3km,
hence from starting point of y is equal to 5km.,and y is exactly 5km far from the point from where X took his first step 3km,finally X took 4km ,
so 5km+4km=9km..hence B
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