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Relative Distance Between Points - Expert Level: conceptual clarity Relative Distance Between Points EXPERT

This skill evaluation ⚡ worksheet focuses on Relative Distance Between Points - a key topic in Distance Logic. You'll solve 20 expert-level problems (Worksheet 9 of 10). The primary focus is on conceptual clarity. Master relative distance between points ssc cgl, relative distance between points reasoning tricks, and fast relative distance between points solving through systematic practice.

📝 Worksheet 9 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Relative Distance Between Points
Worksheet 9 of 10 (88% complete)

Question 1

Two persons A and B start from the same point. A walks 15 m East, then 15 m West. B walks 15 m South, then 19 m West, then 5 m West. What is the distance between them?
Step-by-step:
1. A's final position: (0, 0)
2. B's final position: (-24, -15)
3. Distance = √[(0--24)² + (0--15)²] = √[24² + 15²] = 28 m

Question 2

Two persons A and B start from the same point. A walks 20 m South, then 18 m West. B walks 9 m West, then 10 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-18, -20)
2. B's final position: (1, 0)
3. Distance = √[(-18-1)² + (-20-0)²] = √[-19² + -20²] = 28 m

Question 3

Two persons A and B start from the same point. A walks 11 m South, then 7 m East. B walks 6 m West, then 8 m East, then 16 m East. What is the distance between them?
Step-by-step:
1. A's final position: (7, -11)
2. B's final position: (18, 0)
3. Distance = √[(7-18)² + (-11-0)²] = √[-11² + -11²] = 16 m

Question 4

Two persons A and B start from the same point. A walks 9 m South, then 19 m South, then 16 m West. B walks 5 m South, then 13 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-16, -28)
2. B's final position: (13, -5)
3. Distance = √[(-16-13)² + (-28--5)²] = √[-29² + -23²] = 37 m

Question 5

Two persons A and B start from the same point. A walks 16 m East, then 5 m South, then 12 m North. B walks 7 m West, then 16 m East, then 19 m East. What is the distance between them?
Step-by-step:
1. A's final position: (16, 7)
2. B's final position: (28, 0)
3. Distance = √[(16-28)² + (7-0)²] = √[-12² + 7²] = 14 m

Question 6

Two persons A and B start from the same point. A walks 20 m North, then 14 m South, then 20 m South. B walks 15 m North, then 20 m South. What is the distance between them?
Step-by-step:
1. A's final position: (0, -14)
2. B's final position: (0, -5)
3. Distance = √[(0-0)² + (-14--5)²] = √[0² + -9²] = 9 m

Question 7

Two persons A and B start from the same point. A walks 18 m North, then 14 m North, then 16 m North. B walks 12 m East, then 18 m East, then 9 m South. What is the distance between them?
Step-by-step:
1. A's final position: (0, 48)
2. B's final position: (30, -9)
3. Distance = √[(0-30)² + (48--9)²] = √[-30² + 57²] = 64 m

Question 8

Two persons A and B start from the same point. A walks 9 m East, then 7 m South. B walks 13 m East, then 6 m East, then 8 m North. What is the distance between them?
Step-by-step:
1. A's final position: (9, -7)
2. B's final position: (19, 8)
3. Distance = √[(9-19)² + (-7-8)²] = √[-10² + -15²] = 18 m

Question 9

Two persons A and B start from the same point. A walks 20 m West, then 13 m North, then 17 m North. B walks 18 m North, then 14 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-20, 30)
2. B's final position: (14, 18)
3. Distance = √[(-20-14)² + (30-18)²] = √[-34² + 12²] = 36 m

Question 10

Two persons A and B start from the same point. A walks 8 m West, then 12 m West, then 10 m East. B walks 12 m East, then 18 m West. What is the distance between them?
Step-by-step:
1. A's final position: (-10, 0)
2. B's final position: (-6, 0)
3. Distance = √[(-10--6)² + (0-0)²] = √[-4² + 0²] = 4 m

Question 11

Two persons A and B start from the same point. A walks 16 m North, then 8 m East. B walks 14 m North, then 11 m South, then 20 m North. What is the distance between them?
Step-by-step:
1. A's final position: (8, 16)
2. B's final position: (0, 23)
3. Distance = √[(8-0)² + (16-23)²] = √[8² + -7²] = 11 m

Question 12

Two persons A and B start from the same point. A walks 20 m East, then 13 m East. B walks 11 m North, then 17 m East. What is the distance between them?
Step-by-step:
1. A's final position: (33, 0)
2. B's final position: (17, 11)
3. Distance = √[(33-17)² + (0-11)²] = √[16² + -11²] = 19 m

Question 13

Two persons A and B start from the same point. A walks 20 m South, then 15 m South, then 11 m West. B walks 18 m South, then 12 m West. What is the distance between them?
Step-by-step:
1. A's final position: (-11, -35)
2. B's final position: (-12, -18)
3. Distance = √[(-11--12)² + (-35--18)²] = √[1² + -17²] = 17 m

Question 14

Two persons A and B start from the same point. A walks 20 m East, then 20 m North, then 8 m North. B walks 19 m North, then 11 m West, then 17 m East. What is the distance between them?
Step-by-step:
1. A's final position: (20, 28)
2. B's final position: (6, 19)
3. Distance = √[(20-6)² + (28-19)²] = √[14² + 9²] = 17 m

Question 15

Two persons A and B start from the same point. A walks 19 m North, then 6 m East. B walks 18 m West, then 20 m South, then 12 m North. What is the distance between them?
Step-by-step:
1. A's final position: (6, 19)
2. B's final position: (-18, -8)
3. Distance = √[(6--18)² + (19--8)²] = √[24² + 27²] = 36 m

Question 16

Two persons A and B start from the same point. A walks 14 m North, then 16 m East, then 19 m East. B walks 17 m East, then 12 m North. What is the distance between them?
Step-by-step:
1. A's final position: (35, 14)
2. B's final position: (17, 12)
3. Distance = √[(35-17)² + (14-12)²] = √[18² + 2²] = 18 m

Question 17

Two persons A and B start from the same point. A walks 9 m East, then 13 m North. B walks 8 m North, then 8 m West. What is the distance between them?
Step-by-step:
1. A's final position: (9, 13)
2. B's final position: (-8, 8)
3. Distance = √[(9--8)² + (13-8)²] = √[17² + 5²] = 18 m

Question 18

Two persons A and B start from the same point. A walks 13 m North, then 13 m South. B walks 8 m West, then 8 m West. What is the distance between them?
Step-by-step:
1. A's final position: (0, 0)
2. B's final position: (-16, 0)
3. Distance = √[(0--16)² + (0-0)²] = √[16² + 0²] = 16 m

Question 19

Two persons A and B start from the same point. A walks 19 m West, then 6 m North. B walks 14 m South, then 15 m North, then 19 m South. What is the distance between them?
Step-by-step:
1. A's final position: (-19, 6)
2. B's final position: (0, -18)
3. Distance = √[(-19-0)² + (6--18)²] = √[-19² + 24²] = 31 m

Question 20

Two persons A and B start from the same point. A walks 8 m East, then 17 m East, then 11 m East. B walks 15 m North, then 18 m North. What is the distance between them?
Step-by-step:
1. A's final position: (36, 0)
2. B's final position: (0, 33)
3. Distance = √[(36-0)² + (0-33)²] = √[36² + -33²] = 49 m
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