ReasoningAbility.com

Distance Logic - Advanced Level: position finding ADVANCED

Exam-focused holistic practice ★ worksheet: 20 advanced-level distance logic questions. Worksheet 23 of 30 targets position finding. Build proficiency in shortest path, displacement problems, route mapping with detailed solutions. Ideal for advanced competitive exam preparation.

📝 Worksheet 23 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Distance Logic
Worksheet 23 of 30 (76% complete)

Question 1

From point P, a person walks 8 m South, then 6 m West. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(8² + 6²)
3. = √(64 + 36) = √100 = 10 m
pythagoras, right-angle, shortest-distance

Question 2

A person travels 3 m West, then 4 m South. Find the shortest distance from the starting point.
Step-by-step:
1. West and South are perpendicular directions
2. Shortest distance = √(3² + 4²) = √25 = 5 m
shortest-path, pythagoras

Question 3

A train 174 m long is running at 52 km/h. How long will it take to cross a pole?
Step-by-step:
1. Speed = 52 km/h = 14.4 m/s
2. Time = Length / Speed = 174 / 14.4 = 12.0 seconds
train, platform, pole, ssc

Question 4

A person walks 15 m North, then 20 m East. What is the straight-line distance from the starting point?
Step-by-step:
1. These are perpendicular movements
2. Straight-line distance = √(15² + 20²) = √625 = 25 m
shortest-path, pythagoras

Question 5

Two persons A and B start from the same point. A walks 16 m West, then 16 m East. B walks 9 m East, then 15 m West. What is the distance between them?
Step-by-step:
1. A's final position: (0, 0)
2. B's final position: (-6, 0)
3. Distance = √[(0--6)² + (0-0)²] = √[6² + 0²] = 6 m
two-persons, relative, distance

Question 6

A train moves at 36 km/h for 15 minutes. What distance does it cover?
Time = 15 minutes = 0.25 hours
Distance = 36 × 0.25 = 9.0 km
speed, time, basic

Question 7

A person walks 15 m North, then 20 m East. What is the straight-line distance from the starting point?
Step-by-step:
1. These are perpendicular movements
2. Straight-line distance = √(15² + 20²) = √625 = 25 m
shortest-path, pythagoras

Question 8

Car A at 43 km/h and Car B at 63 km/h start from the same point in the same direction. How long will it take for them to be 569 km apart?
Step-by-step:
1. Relative speed when moving in same direction = |63 - 43| = 20 km/h
2. Time = Distance / Relative Speed = 569 / 20 = 28.4 hours
3. The second car will be 569 km ahead after 28.4 hours
relative, meeting, catch-up

Question 9

A person starts from point O and walks 17m South, then 15m North. What is his straight line distance from point O?
Step-by-step:
1. Track movements: 17m South, then 15m North
2. Net position: (0, -2)
3. Distance = √(0² + -2²) = √4 = 2 m
basic, movement, straight-line

Question 10

A person travels at 40 km/h for 2 hours and then at 52 km/h for 2 hours. What is the average speed?
Step-by-step:
1. For equal time intervals, Average Speed = (v1 + v2) / 2
2. = (40 + 52) / 2 = 46.0 km/h
average, speed, distance

Question 11

From point P, a person walks 15 m East, then 8 m North. 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 12

A train moves at 40 km/h for 30 minutes. What distance does it cover?
Time = 30 minutes = 0.5 hours
Distance = 40 × 0.5 = 20.0 km
speed, time, basic

Question 13

A train 308 m long is running at 50 km/h. How long will it take to cross a 251 m long platform?
Step-by-step:
1. Speed = 50 km/h = 13.9 m/s
2. Total distance = Train length + Platform length = 308 + 251 = 559 m
3. Time = Distance / Speed = 559 / 13.9 = 40.2 seconds
train, platform, pole, ssc

Question 14

A boat travels at 13 km/h in still water. The stream flows at 7 km/h. How long will it take to go 78 km downstream?
Step-by-step:
1. Downstream speed = Boat speed + Stream speed = 13 + 7 = 20 km/h
2. Time = Distance / Speed = 78 / 20 = 3.9 hours
boat, stream, upstream, downstream

Question 15

Train A at 67 km/h and Train B at 56 km/h start from stations 505 km apart and move towards each other. How long will they take to meet?
Step-by-step:
1. Relative speed when moving towards each other = 67 + 56 = 123 km/h
2. Time = Distance / Relative Speed = 505 / 123 = 4.1 hours
relative, meeting, catch-up

Question 16

Two persons A and B start from the same point. A walks 9 m North, then 6 m West. B walks 9 m East, then 19 m East, then 9 m West. What is the distance between them?
Step-by-step:
1. A's final position: (-6, 9)
2. B's final position: (19, 0)
3. Distance = √[(-6-19)² + (9-0)²] = √[-25² + 9²] = 27 m
two-persons, relative, distance

Question 17

A person walks 15 m East, then 16 m West, then 15 m South, then 23 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -15 m South
- East-West: 22 m East
2. Displacement = √(22² + -15²) = √709 = 27 m
3. Total distance walked = 69 m
multi-stage, displacement, complex

Question 18

A 179 cm tall person casts a 161 cm shadow. A nearby building is 558 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 179/161 = 1.11
2. For object: Height / Shadow = 1.11
3. Shadow = Height / Ratio = 558 / 1.11 = 501.9 cm
shadow, similar-triangles, ssc

Question 19

A boat travels at 11 km/h in still water. The stream flows at 7 km/h. How long will it take to go 70 km upstream?
Step-by-step:
1. Upstream speed = Boat speed - Stream speed = 11 - 7 = 4 km/h
2. Time = Distance / Speed = 70 / 4 = 17.5 hours
boat, stream, upstream, downstream

Question 20

A train moves at 67 km/h for 45 minutes. What distance does it cover?
Time = 45 minutes = 0.75 hours
Distance = 67 × 0.75 = 50.2 km
speed, time, basic
Previous Worksheet Next Worksheet