Distance Logic - Beginner Level: displacement problems BEGINNER

Exam-focused quick revision round worksheet: 20 beginner-level distance logic questions. Worksheet 3 of 30 targets displacement problems. Build proficiency in displacement problems, route mapping, distance measurement with detailed solutions. Ideal for entry-level competitive exam preparation.

📝 Worksheet 3 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:

Achieve proficiency in displacement problems by completing this worksheet
Develop strong route mapping skills with practical problems
Improve your distance logic solving speed through quick revision round
Gain confidence in identifying distance measurement patterns
Master real-world applications of displacement problems

Your progress through Distance Logic

Worksheet 3 of 30 (10% 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 39 m and 70 m respectively. How far did he walk?

Step-by-step:
1. First position: distance from pole = 39 m
2. Second position: distance from pole = 70 m
3. Distance between positions = 70 - 39 = 31 m

shadow, similar-triangles, ssc

Question 2

Two persons A and B start from the same point. A walks 18 m East, then 20 m South, then 16 m South. B walks 8 m North, then 12 m West. What is the distance between them?

Step-by-step:
1. A's final position: (18, -36)
2. B's final position: (-12, 8)
3. Distance = √[(18--12)² + (-36-8)²] = √[30² + -44²] = 53 m

two-persons, relative, distance

Question 3

From point P, a person walks 9 m South, then 12 m West. 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 4

A person travels from A to B at 46 km/h and returns at 63 km/h. What is the average speed for the entire journey?

Step-by-step:
1. For equal distances, Average Speed = (2 × v1 × v2) / (v1 + v2)
2. = (2 × 46 × 63) / (46 + 63)
3. = 5796 / 109 = 53.2 km/h

average, speed, distance

Question 5

From point X, a person goes 5 m East, then 12 m North. What is the shortest distance from point X?

Step-by-step:
1. The path forms a right triangle
2. Shortest distance = √(5² + 12²) = √169 = 13 m

shortest-path, pythagoras

Question 6

A person starts from point O and walks 7m West, then 22m West, then 23m North. What is his straight line distance from point O?

Step-by-step:
1. Track movements: 7m West, then 22m West, then 23m North
2. Net position: (-29, 23)
3. Distance = √(-29² + 23²) = √1370 = 37 m

basic, movement, straight-line

Question 7

A person travels from A to B at 46 km/h and returns at 81 km/h. What is the average speed for the entire journey?

Step-by-step:
1. For equal distances, Average Speed = (2 × v1 × v2) / (v1 + v2)
2. = (2 × 46 × 81) / (46 + 81)
3. = 7452 / 127 = 58.7 km/h

average, speed, distance

Question 8

Two persons A and B start from the same point. A walks 11 m North, then 9 m East, then 19 m South. B walks 7 m North, then 16 m North, then 12 m North. What is the distance between them?

Step-by-step:
1. A's final position: (9, -8)
2. B's final position: (0, 35)
3. Distance = √[(9-0)² + (-8-35)²] = √[9² + -43²] = 44 m

two-persons, relative, distance

Question 9

A person travels 7 m West, then 24 m South. Find the shortest distance from the starting point.

Step-by-step:
1. West and South are perpendicular directions
2. Shortest distance = √(7² + 24²) = √625 = 25 m

shortest-path, pythagoras

Question 10

A boat travels at 20 km/h in still water. The stream flows at 5 km/h. How long will it take to go 71 km downstream?

Step-by-step:
1. Downstream speed = Boat speed + Stream speed = 20 + 5 = 25 km/h
2. Time = Distance / Speed = 71 / 25 = 2.8 hours

boat, stream, upstream, downstream

Question 11

From point P, a person walks 8 m East, then 6 m North. 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 12

From point X, a person goes 9 m East, then 12 m North. What is the shortest distance from point X?

Step-by-step:
1. The path forms a right triangle
2. Shortest distance = √(9² + 12²) = √225 = 15 m

shortest-path, pythagoras

Question 13

From point P, a person walks 20 m West, then 21 m South. 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 14

A person travels 9 m West, then 12 m South. Find the shortest distance from the starting point.

Step-by-step:
1. West and South are perpendicular directions
2. Shortest distance = √(9² + 12²) = √225 = 15 m

shortest-path, pythagoras

Question 15

A person travels at 53 km/h for 2 hours and then at 72 km/h for 2 hours. What is the average speed?

Step-by-step:
1. For equal time intervals, Average Speed = (v1 + v2) / 2
2. = (53 + 72) / 2 = 62.5 km/h

average, speed, distance

Question 16

A boat travels 68 km downstream in 2.7 hours and upstream in 6.2 hours. The stream speed is 7 km/h. Find the boat's speed in still water.

Step-by-step:
1. Let boat speed = x km/h, stream speed = 7 km/h
2. Downstream: 68/(x + 7) = 2.7
3. Upstream: 68/(x - 7) = 6.2
4. Solving gives x = 18 km/h

boat, stream, upstream, downstream

Question 17

A person walks 11 m South, then 21 m South, then 16 m West. Find his displacement from the starting point.

Step-by-step:
1. Track net displacement:
- North-South: -32 m South
- East-West: -16 m West
2. Displacement = √(-16² + -32²) = √1280 = 36 m
3. Total distance walked = 48 m

multi-stage, displacement, complex

Question 18

Car A at 67 km/h and Car B at 68 km/h start from the same point in the same direction. How long will it take for them to be 595 km apart?

Step-by-step:
1. Relative speed when moving in same direction = |68 - 67| = 1 km/h
2. Time = Distance / Relative Speed = 595 / 1 = 595.0 hours
3. The second car will be 595 km ahead after 595.0 hours

relative, meeting, catch-up

Question 19

A train 248 m long is running at 68 km/h. How long will it take to cross a pole?

Step-by-step:
1. Speed = 68 km/h = 18.9 m/s
2. Time = Length / Speed = 248 / 18.9 = 13.1 seconds

train, platform, pole, ssc

Question 20

A person starts from point O and walks 6m North, then 17m East. What is his straight line distance from point O?

Step-by-step:
1. Track movements: 6m North, then 17m East
2. Net position: (17, 6)
3. Distance = √(17² + 6²) = √325 = 18 m

basic, movement, straight-line

🎯 Stay focused! Worksheet 3 targets displacement problems.

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