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Distance Logic - Beginner Level: distance measurement BEGINNER

Boost your speed and accuracy with this beginner friendly 📈 worksheet. Worksheet 5 of 30 presents 20 beginner-level distance logic problems. Focus on distance measurement while practicing distance measurement, relative distances, path length. Difficulty: foundational concepts and basic patterns. Perfect for entry-level test takers.

📝 Worksheet 5 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Distance Logic
Worksheet 5 of 30 (16% complete)

Question 1

From point P, a person walks 12 m South, then 16 m West. 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 2

Car A at 47 km/h and Car B at 58 km/h start from the same point in the same direction. How long will it take for them to be 420 km apart?
Step-by-step:
1. Relative speed when moving in same direction = |58 - 47| = 11 km/h
2. Time = Distance / Relative Speed = 420 / 11 = 38.2 hours
3. The second car will be 420 km ahead after 38.2 hours
relative, meeting, catch-up

Question 3

A train 276 m long is running at 81 km/h. How long will it take to cross a pole?
Step-by-step:
1. Speed = 81 km/h = 22.5 m/s
2. Time = Length / Speed = 276 / 22.5 = 12.3 seconds
train, platform, pole, ssc

Question 4

A car travels at 40 km/h for 5 hours. What distance does it cover?
Distance = Speed × Time = 40 × 5 = 200 km
speed, time, basic

Question 5

A boat travels 67 km downstream in 2.5 hours and upstream in 3.9 hours. The stream speed is 5 km/h. Find the boat's speed in still water.
Step-by-step:
1. Let boat speed = x km/h, stream speed = 5 km/h
2. Downstream: 67/(x + 5) = 2.5
3. Upstream: 67/(x - 5) = 3.9
4. Solving gives x = 22 km/h
boat, stream, upstream, downstream

Question 6

Two runners start from the same point on a circular track of length 644 m. Their speeds are 6 m/s and 14 m/s. If they run in the same direction, when will they meet again?
Step-by-step:
1. Relative speed (same direction) = |14 - 6| = 8 m/s
2. Time to meet = Track length / Relative speed = 644 / 8 = 80.5 seconds
circular, track, meeting, laps

Question 7

A person starts from point O and walks 8m West, then 24m South, then 12m North. What is his straight line distance from point O?
Step-by-step:
1. Track movements: 8m West, then 24m South, then 12m North
2. Net position: (-8, -12)
3. Distance = √(-8² + -12²) = √208 = 14 m
basic, movement, straight-line

Question 8

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 9

A person starts from point O and walks 11m South, then 8m East. What is his straight line distance from point O?
Step-by-step:
1. Track movements: 11m South, then 8m East
2. Net position: (8, -11)
3. Distance = √(8² + -11²) = √185 = 14 m
basic, movement, straight-line

Question 10

A person travels at 33 km/h for 2 hours and then at 78 km/h for 2 hours. What is the average speed?
Step-by-step:
1. For equal time intervals, Average Speed = (v1 + v2) / 2
2. = (33 + 78) / 2 = 55.5 km/h
average, speed, distance

Question 11

A person walks 10 m East, then 8 m South, then 18 m South, then 11 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -26 m South
- East-West: 21 m East
2. Displacement = √(21² + -26²) = √1117 = 33 m
3. Total distance walked = 47 m
multi-stage, displacement, complex

Question 12

A person walks 12 m North, then 16 m South, then 25 m West, then 8 m North. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 4 m North
- East-West: -25 m West
2. Displacement = √(-25² + 4²) = √641 = 25 m
3. Total distance walked = 61 m
multi-stage, displacement, complex

Question 13

A runner runs at 5 m/s on a circular track of length 561 m for 174 seconds. How many laps does he complete?
Step-by-step:
1. Distance covered in 174 seconds = 5 × 174 = 870 m
2. Number of laps = Distance / Track length = 870 / 561 = 1.6 laps
circular, track, meeting, laps

Question 14

From point P, a person walks 9 m North, then 12 m East. 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 15

A person starts from point O and walks 23m South, then 21m West, then 13m South. What is his straight line distance from point O?
Step-by-step:
1. Track movements: 23m South, then 21m West, then 13m South
2. Net position: (-21, -36)
3. Distance = √(-21² + -36²) = √1737 = 42 m
basic, movement, straight-line

Question 16

A person travels at 50 km/h for 2 hours and then at 56 km/h for 2 hours. What is the average speed?
Step-by-step:
1. For equal time intervals, Average Speed = (v1 + v2) / 2
2. = (50 + 56) / 2 = 53.0 km/h
average, speed, distance

Question 17

From point P, a person walks 20 m South, then 21 m West. 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 18

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 19

A train 326 m long is running at 58 km/h. How long will it take to cross a 147 m long platform?
Step-by-step:
1. Speed = 58 km/h = 16.1 m/s
2. Total distance = Train length + Platform length = 326 + 147 = 473 m
3. Time = Distance / Speed = 473 / 16.1 = 29.4 seconds
train, platform, pole, ssc

Question 20

Two persons A and B start from the same point. A walks 5 m South, then 5 m West. B walks 16 m West, then 7 m North, then 10 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-5, -5)
2. B's final position: (-6, 7)
3. Distance = √[(-5--6)² + (-5-7)²] = √[1² + -12²] = 12 m
two-persons, relative, distance
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