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Relative Distance Between Points: Worksheet 6 - Intermediate-Advanced Practice Relative Distance Between Points INTERMEDIATE ADVANCED

Ready to master Relative Distance Between Points? This timed practice ⚡ worksheet (6/10) presents 20 intermediate-advanced-level challenges. Focus area: speed building. Learn to solve relative distance between points tricks, handle relative distance between points shortcut methods, and perfect relative distance between points bank exam questions with our step-by-step solutions.

📝 Worksheet 6 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 6 of 10 (55% complete)

Question 1

Two persons A and B start from the same point. A walks 10 m South, then 5 m North. B walks 14 m West, then 18 m West. What is the distance between them?
Step-by-step:
1. A's final position: (0, -5)
2. B's final position: (-32, 0)
3. Distance = √[(0--32)² + (-5-0)²] = √[32² + -5²] = 32 m

Question 2

Two persons A and B start from the same point. A walks 10 m East, then 16 m East, then 18 m East. B walks 7 m East, then 20 m West. What is the distance between them?
Step-by-step:
1. A's final position: (44, 0)
2. B's final position: (-13, 0)
3. Distance = √[(44--13)² + (0-0)²] = √[57² + 0²] = 57 m

Question 3

Two persons A and B start from the same point. A walks 17 m West, then 19 m East, then 10 m South. B walks 6 m West, then 16 m North. What is the distance between them?
Step-by-step:
1. A's final position: (2, -10)
2. B's final position: (-6, 16)
3. Distance = √[(2--6)² + (-10-16)²] = √[8² + -26²] = 27 m

Question 4

Two persons A and B start from the same point. A walks 10 m South, then 20 m South. B walks 15 m South, then 20 m East, then 7 m East. What is the distance between them?
Step-by-step:
1. A's final position: (0, -30)
2. B's final position: (27, -15)
3. Distance = √[(0-27)² + (-30--15)²] = √[-27² + -15²] = 31 m

Question 5

Two persons A and B start from the same point. A walks 13 m East, then 7 m North. B walks 14 m East, then 11 m North, then 13 m West. What is the distance between them?
Step-by-step:
1. A's final position: (13, 7)
2. B's final position: (1, 11)
3. Distance = √[(13-1)² + (7-11)²] = √[12² + -4²] = 13 m

Question 6

Two persons A and B start from the same point. A walks 6 m North, then 7 m South. B walks 8 m South, then 15 m North. What is the distance between them?
Step-by-step:
1. A's final position: (0, -1)
2. B's final position: (0, 7)
3. Distance = √[(0-0)² + (-1-7)²] = √[0² + -8²] = 8 m

Question 7

Two persons A and B start from the same point. A walks 18 m West, then 17 m East, then 7 m South. B walks 13 m South, then 8 m North. What is the distance between them?
Step-by-step:
1. A's final position: (-1, -7)
2. B's final position: (0, -5)
3. Distance = √[(-1-0)² + (-7--5)²] = √[-1² + -2²] = 2 m

Question 8

Two persons A and B start from the same point. A walks 6 m South, then 6 m North, then 12 m East. B walks 5 m West, then 20 m East. What is the distance between them?
Step-by-step:
1. A's final position: (12, 0)
2. B's final position: (15, 0)
3. Distance = √[(12-15)² + (0-0)²] = √[-3² + 0²] = 3 m

Question 9

Two persons A and B start from the same point. A walks 6 m East, then 12 m West, then 7 m West. B walks 10 m East, then 14 m South. What is the distance between them?
Step-by-step:
1. A's final position: (-13, 0)
2. B's final position: (10, -14)
3. Distance = √[(-13-10)² + (0--14)²] = √[-23² + 14²] = 27 m

Question 10

Two persons A and B start from the same point. A walks 18 m East, then 16 m South. B walks 19 m North, then 18 m East. What is the distance between them?
Step-by-step:
1. A's final position: (18, -16)
2. B's final position: (18, 19)
3. Distance = √[(18-18)² + (-16-19)²] = √[0² + -35²] = 35 m

Question 11

Two persons A and B start from the same point. A walks 18 m North, then 5 m West. B walks 11 m East, then 6 m South. What is the distance between them?
Step-by-step:
1. A's final position: (-5, 18)
2. B's final position: (11, -6)
3. Distance = √[(-5-11)² + (18--6)²] = √[-16² + 24²] = 29 m

Question 12

Two persons A and B start from the same point. A walks 8 m South, then 19 m North. B walks 13 m West, then 18 m East. What is the distance between them?
Step-by-step:
1. A's final position: (0, 11)
2. B's final position: (5, 0)
3. Distance = √[(0-5)² + (11-0)²] = √[-5² + 11²] = 12 m

Question 13

Two persons A and B start from the same point. A walks 11 m North, then 12 m West, then 6 m East. B walks 10 m West, then 10 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-6, 11)
2. B's final position: (0, 0)
3. Distance = √[(-6-0)² + (11-0)²] = √[-6² + 11²] = 13 m

Question 14

Two persons A and B start from the same point. A walks 7 m North, then 17 m North, then 13 m North. B walks 15 m South, then 16 m South. What is the distance between them?
Step-by-step:
1. A's final position: (0, 37)
2. B's final position: (0, -31)
3. Distance = √[(0-0)² + (37--31)²] = √[0² + 68²] = 68 m

Question 15

Two persons A and B start from the same point. A walks 6 m East, then 11 m West, then 12 m South. B walks 7 m South, then 18 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-5, -12)
2. B's final position: (18, -7)
3. Distance = √[(-5-18)² + (-12--7)²] = √[-23² + -5²] = 24 m

Question 16

Two persons A and B start from the same point. A walks 16 m West, then 14 m West. B walks 12 m West, then 17 m North, then 12 m South. What is the distance between them?
Step-by-step:
1. A's final position: (-30, 0)
2. B's final position: (-12, 5)
3. Distance = √[(-30--12)² + (0-5)²] = √[-18² + -5²] = 19 m

Question 17

Two persons A and B start from the same point. A walks 9 m South, then 20 m South. B walks 9 m North, then 17 m South. What is the distance between them?
Step-by-step:
1. A's final position: (0, -29)
2. B's final position: (0, -8)
3. Distance = √[(0-0)² + (-29--8)²] = √[0² + -21²] = 21 m

Question 18

Two persons A and B start from the same point. A walks 15 m South, then 9 m West. B walks 16 m East, then 12 m South. What is the distance between them?
Step-by-step:
1. A's final position: (-9, -15)
2. B's final position: (16, -12)
3. Distance = √[(-9-16)² + (-15--12)²] = √[-25² + -3²] = 25 m

Question 19

Two persons A and B start from the same point. A walks 9 m West, then 13 m East, then 15 m West. B walks 20 m South, then 16 m West, then 16 m South. What is the distance between them?
Step-by-step:
1. A's final position: (-11, 0)
2. B's final position: (-16, -36)
3. Distance = √[(-11--16)² + (0--36)²] = √[5² + 36²] = 36 m

Question 20

Two persons A and B start from the same point. A walks 6 m East, then 12 m East, then 10 m South. B walks 20 m South, then 13 m East. What is the distance between them?
Step-by-step:
1. A's final position: (18, -10)
2. B's final position: (13, -20)
3. Distance = √[(18-13)² + (-10--20)²] = √[5² + 10²] = 11 m
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