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Relative Distance Between Points Beginner-Intermediate Worksheet: Focus on common variations practice Relative Distance Between Points BEGINNER INTERMEDIATE

Level up your Relative Distance Between Points skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: relative distance between points for competitive exams, how to solve relative distance between points, relative distance between points tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

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Worksheet 4 of 10 (33% complete)

Question 1

Two persons A and B start from the same point. A walks 6 m North, then 14 m South, then 9 m West. B walks 11 m West, then 10 m East, then 5 m North. What is the distance between them?
Step-by-step:
1. A's final position: (-9, -8)
2. B's final position: (-1, 5)
3. Distance = √[(-9--1)² + (-8-5)²] = √[-8² + -13²] = 15 m

Question 2

Two persons A and B start from the same point. A walks 15 m North, then 7 m West, then 11 m West. B walks 15 m North, then 6 m West. What is the distance between them?
Step-by-step:
1. A's final position: (-18, 15)
2. B's final position: (-6, 15)
3. Distance = √[(-18--6)² + (15-15)²] = √[-12² + 0²] = 12 m

Question 3

Two persons A and B start from the same point. A walks 16 m East, then 14 m South. B walks 12 m North, then 20 m East, then 15 m South. What is the distance between them?
Step-by-step:
1. A's final position: (16, -14)
2. B's final position: (20, -3)
3. Distance = √[(16-20)² + (-14--3)²] = √[-4² + -11²] = 12 m

Question 4

Two persons A and B start from the same point. A walks 15 m East, then 11 m East, then 12 m North. B walks 9 m East, then 17 m North, then 18 m South. What is the distance between them?
Step-by-step:
1. A's final position: (26, 12)
2. B's final position: (9, -1)
3. Distance = √[(26-9)² + (12--1)²] = √[17² + 13²] = 21 m

Question 5

Two persons A and B start from the same point. A walks 7 m North, then 10 m North. B walks 11 m East, then 5 m North. What is the distance between them?
Step-by-step:
1. A's final position: (0, 17)
2. B's final position: (11, 5)
3. Distance = √[(0-11)² + (17-5)²] = √[-11² + 12²] = 16 m

Question 6

Two persons A and B start from the same point. A walks 8 m East, then 20 m West. B walks 17 m North, then 17 m East, then 6 m West. What is the distance between them?
Step-by-step:
1. A's final position: (-12, 0)
2. B's final position: (11, 17)
3. Distance = √[(-12-11)² + (0-17)²] = √[-23² + -17²] = 29 m

Question 7

Two persons A and B start from the same point. A walks 12 m West, then 14 m South, then 19 m South. B walks 20 m South, then 10 m South. What is the distance between them?
Step-by-step:
1. A's final position: (-12, -33)
2. B's final position: (0, -30)
3. Distance = √[(-12-0)² + (-33--30)²] = √[-12² + -3²] = 12 m

Question 8

Two persons A and B start from the same point. A walks 19 m South, then 11 m West, then 15 m West. B walks 13 m East, then 15 m North. What is the distance between them?
Step-by-step:
1. A's final position: (-26, -19)
2. B's final position: (13, 15)
3. Distance = √[(-26-13)² + (-19-15)²] = √[-39² + -34²] = 52 m

Question 9

Two persons A and B start from the same point. A walks 5 m North, then 16 m North, then 15 m East. B walks 10 m West, then 13 m West, then 6 m West. What is the distance between them?
Step-by-step:
1. A's final position: (15, 21)
2. B's final position: (-29, 0)
3. Distance = √[(15--29)² + (21-0)²] = √[44² + 21²] = 49 m

Question 10

Two persons A and B start from the same point. A walks 8 m East, then 5 m West, then 15 m North. B walks 5 m West, then 14 m East, then 12 m North. What is the distance between them?
Step-by-step:
1. A's final position: (3, 15)
2. B's final position: (9, 12)
3. Distance = √[(3-9)² + (15-12)²] = √[-6² + 3²] = 7 m

Question 11

Two persons A and B start from the same point. A walks 18 m West, then 11 m West, then 5 m North. B walks 18 m South, then 18 m North, then 9 m North. What is the distance between them?
Step-by-step:
1. A's final position: (-29, 5)
2. B's final position: (0, 9)
3. Distance = √[(-29-0)² + (5-9)²] = √[-29² + -4²] = 29 m

Question 12

Two persons A and B start from the same point. A walks 15 m West, then 16 m North, then 18 m North. B walks 14 m South, then 11 m West, then 8 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-15, 34)
2. B's final position: (-3, -14)
3. Distance = √[(-15--3)² + (34--14)²] = √[-12² + 48²] = 49 m

Question 13

Two persons A and B start from the same point. A walks 9 m West, then 17 m South, then 6 m North. B walks 8 m South, then 20 m South. What is the distance between them?
Step-by-step:
1. A's final position: (-9, -11)
2. B's final position: (0, -28)
3. Distance = √[(-9-0)² + (-11--28)²] = √[-9² + 17²] = 19 m

Question 14

Two persons A and B start from the same point. A walks 7 m East, then 20 m North, then 10 m East. B walks 16 m South, then 15 m East, then 18 m East. What is the distance between them?
Step-by-step:
1. A's final position: (17, 20)
2. B's final position: (33, -16)
3. Distance = √[(17-33)² + (20--16)²] = √[-16² + 36²] = 39 m

Question 15

Two persons A and B start from the same point. A walks 6 m West, then 7 m North, then 16 m East. B walks 6 m South, then 10 m East, then 17 m South. What is the distance between them?
Step-by-step:
1. A's final position: (10, 7)
2. B's final position: (10, -23)
3. Distance = √[(10-10)² + (7--23)²] = √[0² + 30²] = 30 m

Question 16

Two persons A and B start from the same point. A walks 13 m West, then 10 m West, then 20 m North. B walks 19 m East, then 18 m South, then 8 m South. What is the distance between them?
Step-by-step:
1. A's final position: (-23, 20)
2. B's final position: (19, -26)
3. Distance = √[(-23-19)² + (20--26)²] = √[-42² + 46²] = 62 m

Question 17

Two persons A and B start from the same point. A walks 5 m South, then 17 m South. B walks 5 m West, then 9 m East. What is the distance between them?
Step-by-step:
1. A's final position: (0, -22)
2. B's final position: (4, 0)
3. Distance = √[(0-4)² + (-22-0)²] = √[-4² + -22²] = 22 m

Question 18

Two persons A and B start from the same point. A walks 17 m South, then 20 m West, then 20 m North. B walks 7 m West, then 13 m South. What is the distance between them?
Step-by-step:
1. A's final position: (-20, 3)
2. B's final position: (-7, -13)
3. Distance = √[(-20--7)² + (3--13)²] = √[-13² + 16²] = 21 m

Question 19

Two persons A and B start from the same point. A walks 18 m West, then 12 m South, then 11 m South. B walks 12 m South, then 14 m South. What is the distance between them?
Step-by-step:
1. A's final position: (-18, -23)
2. B's final position: (0, -26)
3. Distance = √[(-18-0)² + (-23--26)²] = √[-18² + 3²] = 18 m

Question 20

Two persons A and B start from the same point. A walks 10 m North, then 8 m East, then 20 m North. B walks 6 m North, then 9 m South. What is the distance between them?
Step-by-step:
1. A's final position: (8, 30)
2. B's final position: (0, -3)
3. Distance = √[(8-0)² + (30--3)²] = √[8² + 33²] = 34 m
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