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Master Relative Distance Between Points - Intermediate-Advanced Level Problems Relative Distance Between Points INTERMEDIATE ADVANCED

Excel in competitive exams with this self assessment worksheet on Relative Distance Between Points. Worksheet 7 of 10 contains 20 intermediate-advanced-level problems. Target your accuracy improvement skills while practicing relative distance between points shortcut methods, relative distance between points bank exam questions, and relative distance between points ssc cgl.

📝 Worksheet 7 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate Advanced level

What you'll learn in this worksheet:
Your progress through Relative Distance Between Points
Worksheet 7 of 10 (66% complete)

Question 1

Two persons A and B start from the same point. A walks 20 m South, then 15 m North, then 8 m West. B walks 8 m East, then 5 m South, then 12 m South. What is the distance between them?
Step-by-step:
1. A's final position: (-8, -5)
2. B's final position: (8, -17)
3. Distance = √[(-8-8)² + (-5--17)²] = √[-16² + 12²] = 20 m

Question 2

Two persons A and B start from the same point. A walks 8 m South, then 19 m West. B walks 13 m South, then 14 m East, then 6 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-19, -8)
2. B's final position: (20, -13)
3. Distance = √[(-19-20)² + (-8--13)²] = √[-39² + 5²] = 39 m

Question 3

Two persons A and B start from the same point. A walks 15 m North, then 18 m East. B walks 7 m West, then 19 m North. What is the distance between them?
Step-by-step:
1. A's final position: (18, 15)
2. B's final position: (-7, 19)
3. Distance = √[(18--7)² + (15-19)²] = √[25² + -4²] = 25 m

Question 4

Two persons A and B start from the same point. A walks 6 m South, then 13 m East. B walks 18 m North, then 14 m West, then 10 m South. What is the distance between them?
Step-by-step:
1. A's final position: (13, -6)
2. B's final position: (-14, 8)
3. Distance = √[(13--14)² + (-6-8)²] = √[27² + -14²] = 30 m

Question 5

Two persons A and B start from the same point. A walks 17 m West, then 14 m East. B walks 6 m North, then 6 m North. What is the distance between them?
Step-by-step:
1. A's final position: (-3, 0)
2. B's final position: (0, 12)
3. Distance = √[(-3-0)² + (0-12)²] = √[-3² + -12²] = 12 m

Question 6

Two persons A and B start from the same point. A walks 20 m East, then 11 m North, then 13 m South. B walks 9 m North, then 6 m East. What is the distance between them?
Step-by-step:
1. A's final position: (20, -2)
2. B's final position: (6, 9)
3. Distance = √[(20-6)² + (-2-9)²] = √[14² + -11²] = 18 m

Question 7

Two persons A and B start from the same point. A walks 8 m East, then 14 m North. B walks 20 m West, then 20 m East. What is the distance between them?
Step-by-step:
1. A's final position: (8, 14)
2. B's final position: (0, 0)
3. Distance = √[(8-0)² + (14-0)²] = √[8² + 14²] = 16 m

Question 8

Two persons A and B start from the same point. A walks 10 m South, then 15 m East. B walks 16 m South, then 12 m East, then 7 m North. What is the distance between them?
Step-by-step:
1. A's final position: (15, -10)
2. B's final position: (12, -9)
3. Distance = √[(15-12)² + (-10--9)²] = √[3² + -1²] = 3 m

Question 9

Two persons A and B start from the same point. A walks 10 m North, then 18 m South. B walks 7 m East, then 8 m South. What is the distance between them?
Step-by-step:
1. A's final position: (0, -8)
2. B's final position: (7, -8)
3. Distance = √[(0-7)² + (-8--8)²] = √[-7² + 0²] = 7 m

Question 10

Two persons A and B start from the same point. A walks 18 m West, then 15 m West. B walks 9 m East, then 8 m West. What is the distance between them?
Step-by-step:
1. A's final position: (-33, 0)
2. B's final position: (1, 0)
3. Distance = √[(-33-1)² + (0-0)²] = √[-34² + 0²] = 34 m

Question 11

Two persons A and B start from the same point. A walks 11 m South, then 20 m North, then 5 m North. B walks 17 m South, then 9 m South, then 15 m North. What is the distance between them?
Step-by-step:
1. A's final position: (0, 14)
2. B's final position: (0, -11)
3. Distance = √[(0-0)² + (14--11)²] = √[0² + 25²] = 25 m

Question 12

Two persons A and B start from the same point. A walks 5 m South, then 5 m North, then 13 m West. B walks 18 m West, then 8 m North, then 8 m North. What is the distance between them?
Step-by-step:
1. A's final position: (-13, 0)
2. B's final position: (-18, 16)
3. Distance = √[(-13--18)² + (0-16)²] = √[5² + -16²] = 17 m

Question 13

Two persons A and B start from the same point. A walks 10 m East, then 8 m North, then 7 m East. B walks 12 m South, then 11 m South. What is the distance between them?
Step-by-step:
1. A's final position: (17, 8)
2. B's final position: (0, -23)
3. Distance = √[(17-0)² + (8--23)²] = √[17² + 31²] = 35 m

Question 14

Two persons A and B start from the same point. A walks 12 m East, then 18 m North. B walks 13 m North, then 20 m West, then 18 m East. What is the distance between them?
Step-by-step:
1. A's final position: (12, 18)
2. B's final position: (-2, 13)
3. Distance = √[(12--2)² + (18-13)²] = √[14² + 5²] = 15 m

Question 15

Two persons A and B start from the same point. A walks 8 m West, then 19 m North. B walks 12 m North, then 12 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-8, 19)
2. B's final position: (12, 12)
3. Distance = √[(-8-12)² + (19-12)²] = √[-20² + 7²] = 21 m

Question 16

Two persons A and B start from the same point. A walks 17 m South, then 14 m North, then 11 m South. B walks 20 m West, then 14 m South, then 12 m South. What is the distance between them?
Step-by-step:
1. A's final position: (0, -14)
2. B's final position: (-20, -26)
3. Distance = √[(0--20)² + (-14--26)²] = √[20² + 12²] = 23 m

Question 17

Two persons A and B start from the same point. A walks 5 m East, then 8 m East. B walks 14 m West, then 17 m West, then 10 m North. What is the distance between them?
Step-by-step:
1. A's final position: (13, 0)
2. B's final position: (-31, 10)
3. Distance = √[(13--31)² + (0-10)²] = √[44² + -10²] = 45 m

Question 18

Two persons A and B start from the same point. A walks 11 m North, then 5 m North, then 13 m East. B walks 10 m East, then 10 m West, then 12 m East. What is the distance between them?
Step-by-step:
1. A's final position: (13, 16)
2. B's final position: (12, 0)
3. Distance = √[(13-12)² + (16-0)²] = √[1² + 16²] = 16 m

Question 19

Two persons A and B start from the same point. A walks 9 m East, then 12 m South, then 8 m South. B walks 16 m East, then 17 m North, then 6 m West. What is the distance between them?
Step-by-step:
1. A's final position: (9, -20)
2. B's final position: (10, 17)
3. Distance = √[(9-10)² + (-20-17)²] = √[-1² + -37²] = 37 m

Question 20

Two persons A and B start from the same point. A walks 16 m East, then 10 m South, then 12 m East. B walks 20 m North, then 8 m South, then 7 m North. What is the distance between them?
Step-by-step:
1. A's final position: (28, -10)
2. B's final position: (0, 19)
3. Distance = √[(28-0)² + (-10-19)²] = √[28² + -29²] = 40 m
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