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Master Relative Distance Between Points - Beginner Level Problems Relative Distance Between Points BEGINNER

Excel in competitive exams with this skill builder ⚡ worksheet on Relative Distance Between Points. Worksheet 3 of 10 contains 20 beginner-level problems. Target your step-by-step problem solving skills while practicing relative distance between points practice, relative distance between points for competitive exams, and how to solve relative distance between points.

📝 Worksheet 3 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Relative Distance Between Points
Worksheet 3 of 10 (22% complete)

Question 1

Two persons A and B start from the same point. A walks 19 m West, then 12 m North, then 13 m South. B walks 16 m North, then 20 m East, then 13 m South. What is the distance between them?
Step-by-step:
1. A's final position: (-19, -1)
2. B's final position: (20, 3)
3. Distance = √[(-19-20)² + (-1-3)²] = √[-39² + -4²] = 39 m

Question 2

Two persons A and B start from the same point. A walks 17 m North, then 17 m North, then 20 m West. B walks 18 m South, then 5 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-20, 34)
2. B's final position: (5, -18)
3. Distance = √[(-20-5)² + (34--18)²] = √[-25² + 52²] = 58 m

Question 3

Two persons A and B start from the same point. A walks 10 m South, then 9 m South, then 19 m North. B walks 6 m East, then 10 m North, then 8 m South. What is the distance between them?
Step-by-step:
1. A's final position: (0, 0)
2. B's final position: (6, 2)
3. Distance = √[(0-6)² + (0-2)²] = √[-6² + -2²] = 6 m

Question 4

Two persons A and B start from the same point. A walks 5 m North, then 12 m North. B walks 11 m North, then 11 m North, then 6 m South. What is the distance between them?
Step-by-step:
1. A's final position: (0, 17)
2. B's final position: (0, 16)
3. Distance = √[(0-0)² + (17-16)²] = √[0² + 1²] = 1 m

Question 5

Two persons A and B start from the same point. A walks 12 m West, then 11 m East. B walks 19 m South, then 9 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-1, 0)
2. B's final position: (9, -19)
3. Distance = √[(-1-9)² + (0--19)²] = √[-10² + 19²] = 21 m

Question 6

Two persons A and B start from the same point. A walks 19 m South, then 10 m East. B walks 17 m North, then 16 m West, then 5 m East. What is the distance between them?
Step-by-step:
1. A's final position: (10, -19)
2. B's final position: (-11, 17)
3. Distance = √[(10--11)² + (-19-17)²] = √[21² + -36²] = 42 m

Question 7

Two persons A and B start from the same point. A walks 17 m West, then 10 m East. B walks 14 m North, then 6 m South, then 5 m North. What is the distance between them?
Step-by-step:
1. A's final position: (-7, 0)
2. B's final position: (0, 13)
3. Distance = √[(-7-0)² + (0-13)²] = √[-7² + -13²] = 15 m

Question 8

Two persons A and B start from the same point. A walks 7 m West, then 19 m South. B walks 14 m South, then 12 m West. What is the distance between them?
Step-by-step:
1. A's final position: (-7, -19)
2. B's final position: (-12, -14)
3. Distance = √[(-7--12)² + (-19--14)²] = √[5² + -5²] = 7 m

Question 9

Two persons A and B start from the same point. A walks 13 m East, then 16 m South. B walks 14 m South, then 8 m East. What is the distance between them?
Step-by-step:
1. A's final position: (13, -16)
2. B's final position: (8, -14)
3. Distance = √[(13-8)² + (-16--14)²] = √[5² + -2²] = 5 m

Question 10

Two persons A and B start from the same point. A walks 13 m North, then 9 m East, then 13 m West. B walks 16 m West, then 17 m North. What is the distance between them?
Step-by-step:
1. A's final position: (-4, 13)
2. B's final position: (-16, 17)
3. Distance = √[(-4--16)² + (13-17)²] = √[12² + -4²] = 13 m

Question 11

Two persons A and B start from the same point. A walks 12 m West, then 9 m West, then 14 m South. B walks 17 m North, then 9 m South, then 12 m West. What is the distance between them?
Step-by-step:
1. A's final position: (-21, -14)
2. B's final position: (-12, 8)
3. Distance = √[(-21--12)² + (-14-8)²] = √[-9² + -22²] = 24 m

Question 12

Two persons A and B start from the same point. A walks 6 m North, then 17 m East, then 9 m East. B walks 16 m West, then 20 m South. What is the distance between them?
Step-by-step:
1. A's final position: (26, 6)
2. B's final position: (-16, -20)
3. Distance = √[(26--16)² + (6--20)²] = √[42² + 26²] = 49 m

Question 13

Two persons A and B start from the same point. A walks 9 m North, then 6 m West, then 19 m West. B walks 8 m East, then 7 m North, then 14 m South. What is the distance between them?
Step-by-step:
1. A's final position: (-25, 9)
2. B's final position: (8, -7)
3. Distance = √[(-25-8)² + (9--7)²] = √[-33² + 16²] = 37 m

Question 14

Two persons A and B start from the same point. A walks 13 m East, then 11 m West. B walks 16 m North, then 14 m North. What is the distance between them?
Step-by-step:
1. A's final position: (2, 0)
2. B's final position: (0, 30)
3. Distance = √[(2-0)² + (0-30)²] = √[2² + -30²] = 30 m

Question 15

Two persons A and B start from the same point. A walks 10 m West, then 14 m East. B walks 12 m South, then 9 m West, then 20 m West. What is the distance between them?
Step-by-step:
1. A's final position: (4, 0)
2. B's final position: (-29, -12)
3. Distance = √[(4--29)² + (0--12)²] = √[33² + 12²] = 35 m

Question 16

Two persons A and B start from the same point. A walks 8 m West, then 9 m South, then 18 m West. B walks 19 m North, then 8 m South, then 17 m North. What is the distance between them?
Step-by-step:
1. A's final position: (-26, -9)
2. B's final position: (0, 28)
3. Distance = √[(-26-0)² + (-9-28)²] = √[-26² + -37²] = 45 m

Question 17

Two persons A and B start from the same point. A walks 7 m South, then 15 m West, then 18 m West. B walks 7 m West, then 16 m South. What is the distance between them?
Step-by-step:
1. A's final position: (-33, -7)
2. B's final position: (-7, -16)
3. Distance = √[(-33--7)² + (-7--16)²] = √[-26² + 9²] = 28 m

Question 18

Two persons A and B start from the same point. A walks 7 m South, then 9 m South, then 17 m East. B walks 20 m South, then 10 m West. What is the distance between them?
Step-by-step:
1. A's final position: (17, -16)
2. B's final position: (-10, -20)
3. Distance = √[(17--10)² + (-16--20)²] = √[27² + 4²] = 27 m

Question 19

Two persons A and B start from the same point. A walks 7 m East, then 17 m East. B walks 8 m South, then 17 m North. What is the distance between them?
Step-by-step:
1. A's final position: (24, 0)
2. B's final position: (0, 9)
3. Distance = √[(24-0)² + (0-9)²] = √[24² + -9²] = 26 m

Question 20

Two persons A and B start from the same point. A walks 6 m South, then 19 m South, then 16 m East. B walks 11 m West, then 14 m South. What is the distance between them?
Step-by-step:
1. A's final position: (16, -25)
2. B's final position: (-11, -14)
3. Distance = √[(16--11)² + (-25--14)²] = √[27² + -11²] = 29 m
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