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Distance Logic - Intermediate-Advanced Level: distance measurement INTERMEDIATE-ADVANCED

Intensive strategic solving 🎯 drill: 20 intermediate-advanced-level distance logic questions. Worksheet 20 of 30 hones your distance measurement abilities. Practice relative distances, path length, position finding under timed conditions. Best for advanced developing students seeking advanced concepts with increasing complexity.

📝 Worksheet 20 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Distance Logic
Worksheet 20 of 30 (66% complete)

Question 1

Two persons A and B start from the same point. A walks 16 m East, then 16 m North. B walks 20 m East, then 19 m North, then 20 m West. What is the distance between them?
Step-by-step:
1. A's final position: (16, 16)
2. B's final position: (0, 19)
3. Distance = √[(16-0)² + (16-19)²] = √[16² + -3²] = 16 m
two-persons, relative, distance

Question 2

A person starts from point O and walks 7m North, then 8m East, then 20m West. What is his straight line distance from point O?
Step-by-step:
1. Track movements: 7m North, then 8m East, then 20m West
2. Net position: (-12, 7)
3. Distance = √(-12² + 7²) = √193 = 14 m
basic, movement, straight-line

Question 3

Two persons A and B start from the same point. A walks 18 m South, then 5 m East, then 10 m West. B walks 11 m North, then 20 m East, then 9 m South. What is the distance between them?
Step-by-step:
1. A's final position: (-5, -18)
2. B's final position: (20, 2)
3. Distance = √[(-5-20)² + (-18-2)²] = √[-25² + -20²] = 32 m
two-persons, relative, distance

Question 4

Two persons A and B start from the same point. A walks 5 m North, then 15 m East. B walks 10 m South, then 6 m North, then 16 m North. What is the distance between them?
Step-by-step:
1. A's final position: (15, 5)
2. B's final position: (0, 12)
3. Distance = √[(15-0)² + (5-12)²] = √[15² + -7²] = 17 m
two-persons, relative, distance

Question 5

A person walks 11 m West, then 12 m North, then 11 m West, then 20 m North. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 32 m North
- East-West: -22 m West
2. Displacement = √(-22² + 32²) = √1508 = 39 m
3. Total distance walked = 54 m
multi-stage, displacement, complex

Question 6

A person walks 8 m North, then 6 m East. What is the straight-line distance from the starting point?
Step-by-step:
1. These are perpendicular movements
2. Straight-line distance = √(8² + 6²) = √100 = 10 m
shortest-path, pythagoras

Question 7

A 165 cm tall person casts a 267 cm shadow. A nearby building is 830 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 165/267 = 0.62
2. For object: Height / Shadow = 0.62
3. Shadow = Height / Ratio = 830 / 0.62 = 1343.1 cm
shadow, similar-triangles, ssc

Question 8

A person walks from a point where his shadow length is measured to another point. The distances from a lamp post are 25 m and 68 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 25 m
2. Second position: distance from pole = 68 m
3. Distance between positions = 68 - 25 = 43 m
shadow, similar-triangles, ssc

Question 9

A person travels at 52 km/h for 2 hours and then at 46 km/h for 2 hours. What is the average speed?
Step-by-step:
1. For equal time intervals, Average Speed = (v1 + v2) / 2
2. = (52 + 46) / 2 = 49.0 km/h
average, speed, distance

Question 10

A person walks from a point where his shadow length is measured to another point. The distances from a lamp post are 22 m and 75 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 22 m
2. Second position: distance from pole = 75 m
3. Distance between positions = 75 - 22 = 53 m
shadow, similar-triangles, ssc

Question 11

From point P, a person walks 3 m South, then 4 m West. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(3² + 4²)
3. = √(9 + 16) = √25 = 5 m
pythagoras, right-angle, shortest-distance

Question 12

A person walks 25 m South, then 16 m West, then 18 m East, then 20 m South. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -45 m South
- East-West: 2 m East
2. Displacement = √(2² + -45²) = √2029 = 45 m
3. Total distance walked = 79 m
multi-stage, displacement, complex

Question 13

A boat travels at 23 km/h in still water. The stream flows at 7 km/h. How long will it take to go 43 km downstream?
Step-by-step:
1. Downstream speed = Boat speed + Stream speed = 23 + 7 = 30 km/h
2. Time = Distance / Speed = 43 / 30 = 1.4 hours
boat, stream, upstream, downstream

Question 14

A train 163 m long is running at 53 km/h. How long will it take to cross a 126 m long platform?
Step-by-step:
1. Speed = 53 km/h = 14.7 m/s
2. Total distance = Train length + Platform length = 163 + 126 = 289 m
3. Time = Distance / Speed = 289 / 14.7 = 19.6 seconds
train, platform, pole, ssc

Question 15

A train 362 m long is running at 90 km/h. How long will it take to cross a 208 m long platform?
Step-by-step:
1. Speed = 90 km/h = 25.0 m/s
2. Total distance = Train length + Platform length = 362 + 208 = 570 m
3. Time = Distance / Speed = 570 / 25.0 = 22.8 seconds
train, platform, pole, ssc

Question 16

Car A at 56 km/h and Car B at 61 km/h start from the same point in the same direction. How long will it take for them to be 407 km apart?
Step-by-step:
1. Relative speed when moving in same direction = |61 - 56| = 5 km/h
2. Time = Distance / Relative Speed = 407 / 5 = 81.4 hours
3. The second car will be 407 km ahead after 81.4 hours
relative, meeting, catch-up

Question 17

A train moves at 72 km/h for 45 minutes. What distance does it cover?
Time = 45 minutes = 0.75 hours
Distance = 72 × 0.75 = 54.0 km
speed, time, basic

Question 18

A person travels 8 m West, then 6 m South. Find the shortest distance from the starting point.
Step-by-step:
1. West and South are perpendicular directions
2. Shortest distance = √(8² + 6²) = √100 = 10 m
shortest-path, pythagoras

Question 19

A runner runs at 6 m/s on a circular track of length 691 m for 90 seconds. How many laps does he complete?
Step-by-step:
1. Distance covered in 90 seconds = 6 × 90 = 540 m
2. Number of laps = Distance / Track length = 540 / 691 = 0.8 laps
circular, track, meeting, laps

Question 20

From point P, a person walks 7 m South, then 24 m West. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(7² + 24²)
3. = √(49 + 576) = √625 = 25 m
pythagoras, right-angle, shortest-distance
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