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Distance Logic - Beginner-Intermediate Level: position finding BEGINNER-INTERMEDIATE

Comprehensive race against clock worksheet covering 20 beginner-intermediate-level distance logic problems. Worksheet 8 of 30 emphasizes position finding. Master distance calculation, shortest path, displacement problems through detailed explanations. Difficulty: building on fundamentals with moderate challenges. Tailored for developing preparation.

📝 Worksheet 8 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Distance Logic
Worksheet 8 of 30 (26% complete)

Question 1

A person walks from a point where his shadow length is measured to another point. The distances from a lamp post are 40 m and 66 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 40 m
2. Second position: distance from pole = 66 m
3. Distance between positions = 66 - 40 = 26 m
shadow, similar-triangles, ssc

Question 2

A person walks 23 m West, then 14 m North, then 17 m North, then 15 m North. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 46 m North
- East-West: -23 m West
2. Displacement = √(-23² + 46²) = √2645 = 51 m
3. Total distance walked = 69 m
multi-stage, displacement, complex

Question 3

A train 365 m long is running at 48 km/h. How long will it take to cross a pole?
Step-by-step:
1. Speed = 48 km/h = 13.3 m/s
2. Time = Length / Speed = 365 / 13.3 = 27.4 seconds
train, platform, pole, ssc

Question 4

From point P, a person walks 15 m West, then 8 m South. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(15² + 8²)
3. = √(225 + 64) = √289 = 17 m
pythagoras, right-angle, shortest-distance

Question 5

Car A at 48 km/h and Car B at 71 km/h start from the same point in the same direction. How long will it take for them to be 322 km apart?
Step-by-step:
1. Relative speed when moving in same direction = |71 - 48| = 23 km/h
2. Time = Distance / Relative Speed = 322 / 23 = 14.0 hours
3. The second car will be 322 km ahead after 14.0 hours
relative, meeting, catch-up

Question 6

A person walks from a point where his shadow length is measured to another point. The distances from a lamp post are 41 m and 82 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 41 m
2. Second position: distance from pole = 82 m
3. Distance between positions = 82 - 41 = 41 m
shadow, similar-triangles, ssc

Question 7

A train 331 m long is running at 58 km/h. How long will it take to cross a pole?
Step-by-step:
1. Speed = 58 km/h = 16.1 m/s
2. Time = Length / Speed = 331 / 16.1 = 20.5 seconds
train, platform, pole, ssc

Question 8

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 9

A person starts from point O and walks 10m East, then 23m North, then 13m West. What is his straight line distance from point O?
Step-by-step:
1. Track movements: 10m East, then 23m North, then 13m West
2. Net position: (-3, 23)
3. Distance = √(-3² + 23²) = √538 = 23 m
basic, movement, straight-line

Question 10

From point P, a person walks 12 m North, then 16 m East. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(12² + 16²)
3. = √(144 + 256) = √400 = 20 m
pythagoras, right-angle, shortest-distance

Question 11

A train 224 m long is running at 62 km/h. How long will it take to cross a pole?
Step-by-step:
1. Speed = 62 km/h = 17.2 m/s
2. Time = Length / Speed = 224 / 17.2 = 13.0 seconds
train, platform, pole, ssc

Question 12

A boat travels at 12 km/h in still water. The stream flows at 4 km/h. How long will it take to go 75 km downstream?
Step-by-step:
1. Downstream speed = Boat speed + Stream speed = 12 + 4 = 16 km/h
2. Time = Distance / Speed = 75 / 16 = 4.7 hours
boat, stream, upstream, downstream

Question 13

A person starts from point O and walks 11m East, then 10m South, then 5m South. What is his straight line distance from point O?
Step-by-step:
1. Track movements: 11m East, then 10m South, then 5m South
2. Net position: (11, -15)
3. Distance = √(11² + -15²) = √346 = 19 m
basic, movement, straight-line

Question 14

From point P, a person walks 20 m East, then 21 m North. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(20² + 21²)
3. = √(400 + 441) = √841 = 29 m
pythagoras, right-angle, shortest-distance

Question 15

A person starts from point O and walks 21m South, then 24m West, then 24m North. What is his straight line distance from point O?
Step-by-step:
1. Track movements: 21m South, then 24m West, then 24m North
2. Net position: (-24, 3)
3. Distance = √(-24² + 3²) = √585 = 24 m
basic, movement, straight-line

Question 16

A runner runs at 10 m/s on a circular track of length 629 m for 94 seconds. How many laps does he complete?
Step-by-step:
1. Distance covered in 94 seconds = 10 × 94 = 940 m
2. Number of laps = Distance / Track length = 940 / 629 = 1.5 laps
circular, track, meeting, laps

Question 17

A person walks 16 m West, then 22 m North, then 22 m West. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 22 m North
- East-West: -38 m West
2. Displacement = √(-38² + 22²) = √1928 = 44 m
3. Total distance walked = 60 m
multi-stage, displacement, complex

Question 18

Car A at 67 km/h and Car B at 50 km/h start from the same point in the same direction. How long will it take for them to be 500 km apart?
Step-by-step:
1. Relative speed when moving in same direction = |50 - 67| = 17 km/h
2. Time = Distance / Relative Speed = 500 / 17 = 29.4 hours
3. The first car will be 500 km ahead after 29.4 hours
relative, meeting, catch-up

Question 19

From point P, a person walks 9 m West, then 12 m South. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(9² + 12²)
3. = √(81 + 144) = √225 = 15 m
pythagoras, right-angle, shortest-distance

Question 20

Two persons A and B start from the same point. A walks 15 m West, then 12 m North, then 20 m South. B walks 18 m North, then 14 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-15, -8)
2. B's final position: (14, 18)
3. Distance = √[(-15-14)² + (-8-18)²] = √[-29² + -26²] = 39 m
two-persons, relative, distance
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