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Distance Logic - Beginner Level: relative distances BEGINNER

Master distance logic concepts through this speed drill practice set. Worksheet 6 of 30 contains 20 beginner-level problems. Deep dive into relative distances while learning relative distances, path length, position finding. Recommended for entry-level learners aiming for foundational concepts and basic patterns.

📝 Worksheet 6 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Distance Logic
Worksheet 6 of 30 (20% complete)

Question 1

A runner runs at 12 m/s on a circular track of length 794 m for 146 seconds. How many laps does he complete?
Step-by-step:
1. Distance covered in 146 seconds = 12 × 146 = 1752 m
2. Number of laps = Distance / Track length = 1752 / 794 = 2.2 laps
circular, track, meeting, laps

Question 2

A train moves at 32 km/h for 30 minutes. What distance does it cover?
Time = 30 minutes = 0.5 hours
Distance = 32 × 0.5 = 16.0 km
speed, time, basic

Question 3

A person travels at 60 km/h for 2 hours and then at 41 km/h for 2 hours. What is the average speed?
Step-by-step:
1. For equal time intervals, Average Speed = (v1 + v2) / 2
2. = (60 + 41) / 2 = 50.5 km/h
average, speed, distance

Question 4

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 5

A train 255 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 = 255 / 18.9 = 13.5 seconds
train, platform, pole, ssc

Question 6

From point P, a person walks 9 m East, then 12 m North. 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 7

A person walks 17 m West, then 16 m West, then 11 m South. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -11 m South
- East-West: -33 m West
2. Displacement = √(-33² + -11²) = √1210 = 35 m
3. Total distance walked = 44 m
multi-stage, displacement, complex

Question 8

From point P, a person walks 7 m East, then 24 m North. 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

Question 9

A train moves at 36 km/h for 45 minutes. What distance does it cover?
Time = 45 minutes = 0.75 hours
Distance = 36 × 0.75 = 27.0 km
speed, time, basic

Question 10

A person walks 21 m East, then 10 m North, then 23 m West. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 10 m North
- East-West: -2 m West
2. Displacement = √(-2² + 10²) = √104 = 10 m
3. Total distance walked = 54 m
multi-stage, displacement, complex

Question 11

A train 395 m long is running at 89 km/h. How long will it take to cross a pole?
Step-by-step:
1. Speed = 89 km/h = 24.7 m/s
2. Time = Length / Speed = 395 / 24.7 = 16.0 seconds
train, platform, pole, ssc

Question 12

Two persons A and B start from the same point. A walks 14 m West, then 15 m West, then 9 m North. B walks 11 m South, then 19 m West, then 18 m South. What is the distance between them?
Step-by-step:
1. A's final position: (-29, 9)
2. B's final position: (-19, -29)
3. Distance = √[(-29--19)² + (9--29)²] = √[-10² + 38²] = 39 m
two-persons, relative, distance

Question 13

A train 185 m long is running at 80 km/h. How long will it take to cross a 252 m long platform?
Step-by-step:
1. Speed = 80 km/h = 22.2 m/s
2. Total distance = Train length + Platform length = 185 + 252 = 437 m
3. Time = Distance / Speed = 437 / 22.2 = 19.7 seconds
train, platform, pole, ssc

Question 14

A boat travels at 19 km/h in still water. Stream speed is 5 km/h. What is the difference between upstream and downstream time for 34 km?
Step-by-step:
1. Downstream speed = 24 km/h, Time = 1.4 hours
2. Upstream speed = 14 km/h, Time = 2.4 hours
3. Difference = 2.4 - 1.4 = 1.0 hours
boat, stream, upstream, downstream

Question 15

A person travels at 40 km/h for 2 hours and then at 58 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 + 58) / 2 = 49.0 km/h
average, speed, distance

Question 16

A person walks 15 m West, then 11 m East, then 22 m North, then 21 m South. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 1 m North
- East-West: -4 m West
2. Displacement = √(-4² + 1²) = √17 = 4 m
3. Total distance walked = 69 m
multi-stage, displacement, complex

Question 17

A car travels at 54 km/h for 4 hours. What distance does it cover?
Distance = Speed × Time = 54 × 4 = 216 km
speed, time, basic

Question 18

A person walks 15 m North, then 18 m South, then 9 m East, then 21 m North. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 18 m North
- East-West: 9 m East
2. Displacement = √(9² + 18²) = √405 = 20 m
3. Total distance walked = 63 m
multi-stage, displacement, complex

Question 19

A person walks 12 m West, then 13 m West, then 9 m West. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 0 m 0
- East-West: -34 m West
2. Displacement = √(-34² + 0²) = √1156 = 34 m
3. Total distance walked = 34 m
multi-stage, displacement, complex

Question 20

A 166 cm tall person casts a 296 cm shadow. A nearby building is 686 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 166/296 = 0.56
2. For object: Height / Shadow = 0.56
3. Shadow = Height / Ratio = 686 / 0.56 = 1223.2 cm
shadow, similar-triangles, ssc
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