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Relative Distance Between Points - Intermediate Level: tricky scenarios handling Relative Distance Between Points INTERMEDIATE

This expert challenge 📈 worksheet focuses on Relative Distance Between Points - a key topic in Distance Logic. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve relative distance between points, relative distance between points tricks, and relative distance between points shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Relative Distance Between Points
Worksheet 5 of 10 (44% complete)

Question 1

Two persons A and B start from the same point. A walks 7 m North, then 10 m North, then 16 m East. B walks 17 m North, then 15 m South. What is the distance between them?
Step-by-step:
1. A's final position: (16, 17)
2. B's final position: (0, 2)
3. Distance = √[(16-0)² + (17-2)²] = √[16² + 15²] = 22 m

Question 2

Two persons A and B start from the same point. A walks 14 m South, then 5 m South. B walks 8 m North, then 7 m East, then 20 m South. What is the distance between them?
Step-by-step:
1. A's final position: (0, -19)
2. B's final position: (7, -12)
3. Distance = √[(0-7)² + (-19--12)²] = √[-7² + -7²] = 10 m

Question 3

Two persons A and B start from the same point. A walks 19 m West, then 15 m North, then 5 m West. B walks 17 m East, then 20 m East, then 13 m West. What is the distance between them?
Step-by-step:
1. A's final position: (-24, 15)
2. B's final position: (24, 0)
3. Distance = √[(-24-24)² + (15-0)²] = √[-48² + 15²] = 50 m

Question 4

Two persons A and B start from the same point. A walks 14 m West, then 20 m East, then 6 m South. B walks 17 m East, then 16 m South, then 11 m West. What is the distance between them?
Step-by-step:
1. A's final position: (6, -6)
2. B's final position: (6, -16)
3. Distance = √[(6-6)² + (-6--16)²] = √[0² + 10²] = 10 m

Question 5

Two persons A and B start from the same point. A walks 6 m South, then 9 m East, then 12 m West. B walks 10 m North, then 20 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-3, -6)
2. B's final position: (20, 10)
3. Distance = √[(-3-20)² + (-6-10)²] = √[-23² + -16²] = 28 m

Question 6

Two persons A and B start from the same point. A walks 5 m North, then 17 m West, then 19 m East. B walks 5 m West, then 6 m North. What is the distance between them?
Step-by-step:
1. A's final position: (2, 5)
2. B's final position: (-5, 6)
3. Distance = √[(2--5)² + (5-6)²] = √[7² + -1²] = 7 m

Question 7

Two persons A and B start from the same point. A walks 16 m East, then 9 m North. B walks 7 m North, then 5 m South, then 20 m North. What is the distance between them?
Step-by-step:
1. A's final position: (16, 9)
2. B's final position: (0, 22)
3. Distance = √[(16-0)² + (9-22)²] = √[16² + -13²] = 21 m

Question 8

Two persons A and B start from the same point. A walks 19 m West, then 20 m North. B walks 11 m West, then 10 m South. What is the distance between them?
Step-by-step:
1. A's final position: (-19, 20)
2. B's final position: (-11, -10)
3. Distance = √[(-19--11)² + (20--10)²] = √[-8² + 30²] = 31 m

Question 9

Two persons A and B start from the same point. A walks 18 m West, then 17 m West, then 5 m West. B walks 12 m South, then 8 m West, then 15 m North. What is the distance between them?
Step-by-step:
1. A's final position: (-40, 0)
2. B's final position: (-8, 3)
3. Distance = √[(-40--8)² + (0-3)²] = √[-32² + -3²] = 32 m

Question 10

Two persons A and B start from the same point. A walks 16 m West, then 11 m East, then 10 m East. B walks 16 m East, then 20 m West. What is the distance between them?
Step-by-step:
1. A's final position: (5, 0)
2. B's final position: (-4, 0)
3. Distance = √[(5--4)² + (0-0)²] = √[9² + 0²] = 9 m

Question 11

Two persons A and B start from the same point. A walks 8 m South, then 13 m North. B walks 10 m South, then 9 m East. What is the distance between them?
Step-by-step:
1. A's final position: (0, 5)
2. B's final position: (9, -10)
3. Distance = √[(0-9)² + (5--10)²] = √[-9² + 15²] = 17 m

Question 12

Two persons A and B start from the same point. A walks 7 m North, then 13 m East, then 7 m East. B walks 17 m North, then 20 m North, then 18 m West. What is the distance between them?
Step-by-step:
1. A's final position: (20, 7)
2. B's final position: (-18, 37)
3. Distance = √[(20--18)² + (7-37)²] = √[38² + -30²] = 48 m

Question 13

Two persons A and B start from the same point. A walks 17 m East, then 20 m North. B walks 12 m South, then 14 m West. What is the distance between them?
Step-by-step:
1. A's final position: (17, 20)
2. B's final position: (-14, -12)
3. Distance = √[(17--14)² + (20--12)²] = √[31² + 32²] = 45 m

Question 14

Two persons A and B start from the same point. A walks 12 m West, then 16 m South. B walks 5 m West, then 8 m North. What is the distance between them?
Step-by-step:
1. A's final position: (-12, -16)
2. B's final position: (-5, 8)
3. Distance = √[(-12--5)² + (-16-8)²] = √[-7² + -24²] = 25 m

Question 15

Two persons A and B start from the same point. A walks 5 m East, then 16 m East. B walks 10 m North, then 10 m East, then 12 m North. What is the distance between them?
Step-by-step:
1. A's final position: (21, 0)
2. B's final position: (10, 22)
3. Distance = √[(21-10)² + (0-22)²] = √[11² + -22²] = 25 m

Question 16

Two persons A and B start from the same point. A walks 20 m South, then 9 m East, then 16 m West. B walks 18 m South, then 9 m West. What is the distance between them?
Step-by-step:
1. A's final position: (-7, -20)
2. B's final position: (-9, -18)
3. Distance = √[(-7--9)² + (-20--18)²] = √[2² + -2²] = 3 m

Question 17

Two persons A and B start from the same point. A walks 7 m East, then 18 m South. B walks 8 m North, then 18 m South. What is the distance between them?
Step-by-step:
1. A's final position: (7, -18)
2. B's final position: (0, -10)
3. Distance = √[(7-0)² + (-18--10)²] = √[7² + -8²] = 11 m

Question 18

Two persons A and B start from the same point. A walks 14 m West, then 20 m West, then 17 m North. B walks 11 m North, then 6 m North, then 11 m South. What is the distance between them?
Step-by-step:
1. A's final position: (-34, 17)
2. B's final position: (0, 6)
3. Distance = √[(-34-0)² + (17-6)²] = √[-34² + 11²] = 36 m

Question 19

Two persons A and B start from the same point. A walks 11 m West, then 18 m South, then 6 m South. B walks 18 m East, then 9 m West, then 8 m West. What is the distance between them?
Step-by-step:
1. A's final position: (-11, -24)
2. B's final position: (1, 0)
3. Distance = √[(-11-1)² + (-24-0)²] = √[-12² + -24²] = 27 m

Question 20

Two persons A and B start from the same point. A walks 10 m West, then 12 m South. B walks 5 m North, then 8 m South. What is the distance between them?
Step-by-step:
1. A's final position: (-10, -12)
2. B's final position: (0, -3)
3. Distance = √[(-10-0)² + (-12--3)²] = √[-10² + -9²] = 13 m
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