Lesson 3.1: Distance, Time, and Constant Speed
Comprehensive lesson on Distance, Time, and Constant Speed in Grade 5 Mathematics.
⏱️ Reading Time: 20 mins
• ❓ 50 Interactive Practice Questions
🌟
Real-Life Story: Speed, Distance, and Time
High-Speed Express Rail: Monitoring train speeds between metropolitan stations.
💡 Core Mathematical Concepts: Distance, Time, and Constant Speed
Focus areas: Speed = Distance ÷ Time and Distance = Speed × Time..
| Concept / Term | Mathematical Meaning | Real-Life Application |
|---|---|---|
| Speed | Distance travelled per unit of time (km/h or m/s) | A train travelling at 80 km/h covers 80 km in 1 hr |
| Travel Time | Time taken = Total Distance ÷ Speed | 240 km ÷ 80 km/h = 3 hours |
| Distance | Distance = Speed × Time | 60 km/h for 2.5 hours = 150 km |
📝 Step-by-Step Worked Examples
Worked Example 1: Find speed
A bus covers 180 km in 3 hours -> Speed = 180 ÷ 3 = 60 km/h.
Worked Example 2: Find travel distance
A cyclist rides at 15 km/h for 4 hours -> Distance = 15 × 4 = 60 km.
⚠️ Common Misconceptions to Avoid
Common Misconception: Mixing units
Correction: Do not multiply km/h by minutes directly without converting minutes to hours first.
Common Misconception: Subtracting speed from time
Correction: Speed, distance, and time relate through multiplication and division, never subtraction.
🎯
Self-Check Challenge
An electric delivery van travels at a steady 50 km/h. How far does it travel in 3 hours and 30 minutes?
Answer & Explanation:
3.5 hours × 50 km/h = 175 km.
🎯 Key Learning Takeaways
Master core definitions of Distance, Time, and Constant Speed.
Apply mathematical principles to everyday scenarios.
Avoid common calculation and conceptual pitfalls.
📄 Printable Worksheets (5 Available)
Download ready-to-print PDFs for offline student practice with separate parent/teacher answer keys.
G5-M-CH03-WS05
A4 • 15 Qs
Speed, Distance, and Time: Worksheet 5
Practice Assessment 5 • Central Botanical Gardens Context
G5-M-CH03-WS04
A4 • 15 Qs
Speed, Distance, and Time: Worksheet 4
Practice Assessment 4 • Eco-Friendly Solar Park Context
G5-M-CH03-WS03
A4 • 15 Qs
Speed, Distance, and Time: Worksheet 3
Practice Assessment 3 • Harbor Marine Terminal Context
G5-M-CH03-WS02
A4 • 15 Qs
Speed, Distance, and Time: Worksheet 2
Practice Assessment 2 • Science & Discovery Museum Context
G5-M-CH03-WS01
A4 • 15 Qs
Speed, Distance, and Time: Worksheet 1
Practice Assessment 1 • City Regional Airport Context
✍️ Lesson Practice Questions (50 Questions)
Solve these real-world challenges online, test your understanding, and reveal instant step-by-step explanations.
1
Short Answer
Hard
2 Marks
A pilot flies 600 km to an island at 200 km/h, and returns along the same route at 300 km/h. What is the average speed for the entire round trip?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
240 km/h
Step-by-Step Explanation:
Outbound time = 600 ÷ 200 = 3 h. Return time = 600 ÷ 300 = 2 h. Total distance = 1,200 km. Total time = 5 h. Average speed = 1,200 ÷ 5 = 240 km/h.
2
Short Answer
Hard
2 Marks
Two trains leave stations 400 km apart at the same time heading toward each other. Train A travels at 60 km/h and Train B travels at 40 km/h. After how many hours will they meet?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 hours
Step-by-Step Explanation:
Combined speed = 60 + 40 = 100 km/h. Time to meet = 400 ÷ 100 = 4 hours.
3
Short Answer
Hard
2 Marks
Why is average speed often different from instantaneous speed on an actual highway trip? Explain using a real situation.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Instantaneous speed is the speed at a single moment (e.g. slowing for tolls or stopping at traffic lights), whereas average speed divides total trip distance by total elapsed time including stops.
Step-by-Step Explanation:
Stops, traffic, and speed variations make instant speed fluctuate, while average speed spans the entire elapsed time.
4
Short Answer
Hard
2 Marks
If Car A travels 150 km in 2 hours and Car B travels 210 km in 3 hours, which car traveled faster? Explain your reasoning with calculations.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Car A traveled faster. Car A's speed was 150 ÷ 2 = 75 km/h, while Car B's speed was 210 ÷ 3 = 70 km/h. 75 km/h > 70 km/h.
Step-by-Step Explanation:
Compare speeds: Car A (75 km/h) vs Car B (70 km/h). Car A is faster by 5 km/h.
5
Short Answer
Medium
1 Mark
A driver calculates travel time for 200 km at 50 km/h as '50 ÷ 200 = 0.25 hours'. What is the error and the correct travel time?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 hours
Step-by-Step Explanation:
The driver divided speed by distance. Time = Distance ÷ Speed = 200 ÷ 50 = 4 hours.
6
Short Answer
Medium
1 Mark
Liam says: 'If I walk 6 km in 2 hours, my speed is 6 × 2 = 12 km/h.' Explain Liam's error and state his correct walking speed.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3 km/h
Step-by-Step Explanation:
Liam multiplied distance by time instead of dividing. Correct speed = 6 ÷ 2 = 3 km/h.
7
Fill in the Blanks
Medium
1 Mark
Fill in the missing time: Speed = 45 km/h, Distance = 135 km, Time = [ ? ] hours.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3
Step-by-Step Explanation:
Time = 135 ÷ 45 = 3 hours.
8
Fill in the Blanks
Medium
1 Mark
Complete the equation: Distance = 360 km, Time = 4 hours, Speed = [ ? ] km/h.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
90
Step-by-Step Explanation:
Speed = 360 ÷ 4 = 90 km/h.
9
Short Answer
Medium
1 Mark
A marathon runner maintains a steady pace of 12 km/h. How many kilometers does the runner complete in 2 hours and 30 minutes?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
30 km
Step-by-Step Explanation:
2 hours and 30 minutes = 2.5 hours. Distance = 12 × 2.5 = 30 km.
10
Short Answer
Medium
1 Mark
An express courier drives 180 km in the morning taking 3 hours, and 120 km in the afternoon taking 2 hours. What was the courier's average speed over the entire trip?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
60 km/h
Step-by-Step Explanation:
Total distance = 180 + 120 = 300 km. Total time = 3 + 2 = 5 hours. Average speed = 300 ÷ 5 = 60 km/h.
11
Short Answer
Medium
1 Mark
A passenger bus departs from the Central Botanical Gardens and drives 210 km at a constant speed of 70 km/h. How many hours does the journey take?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3 hours
Step-by-Step Explanation:
Time = Distance ÷ Speed = 210 ÷ 70 = 3 hours.
12
Multiple Choice
Easy
1 Mark
Which formula correctly expresses Speed in terms of Distance and Time?
A
Speed = Distance ÷ Time
B
Speed = Distance × Time
C
Speed = Time ÷ Distance
D
Speed = Distance + Time
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Speed = Distance ÷ Time
Step-by-Step Explanation:
Speed is defined as rate of distance covered per unit of time: Speed = Distance ÷ Time.
13
Multiple Choice
Easy
1 Mark
How long does it take a cyclist traveling at 15 km/h to cover a distance of 105 km?
A
7 hours
B
6 hours
C
8 hours
D
9 hours
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
7 hours
Step-by-Step Explanation:
Time = Distance ÷ Speed = 105 ÷ 15 = 7 hours.
14
Multiple Choice
Easy
1 Mark
If a delivery van travels at 105 km/h for 3 hours, how far does it travel?
A
315 km
B
210 km
C
108 km
D
420 km
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
315 km
Step-by-Step Explanation:
Distance = Speed × Time = 105 × 3 = 315 km.
15
Multiple Choice
Easy
1 Mark
A high-speed train travels 400 km in 4 hours at a steady pace. What is its average speed?
A
100 km/h
B
90 km/h
C
115 km/h
D
1600 km/h
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
100 km/h
Step-by-Step Explanation:
Speed = Distance ÷ Time = 400 ÷ 4 = 100 km/h.
16
Short Answer
Hard
2 Marks
A pilot flies 600 km to an island at 200 km/h, and returns along the same route at 300 km/h. What is the average speed for the entire round trip?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
240 km/h
Step-by-Step Explanation:
Outbound time = 600 ÷ 200 = 3 h. Return time = 600 ÷ 300 = 2 h. Total distance = 1,200 km. Total time = 5 h. Average speed = 1,200 ÷ 5 = 240 km/h.
17
Short Answer
Hard
2 Marks
Two trains leave stations 400 km apart at the same time heading toward each other. Train A travels at 60 km/h and Train B travels at 40 km/h. After how many hours will they meet?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 hours
Step-by-Step Explanation:
Combined speed = 60 + 40 = 100 km/h. Time to meet = 400 ÷ 100 = 4 hours.
18
Short Answer
Hard
2 Marks
Why is average speed often different from instantaneous speed on an actual highway trip? Explain using a real situation.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Instantaneous speed is the speed at a single moment (e.g. slowing for tolls or stopping at traffic lights), whereas average speed divides total trip distance by total elapsed time including stops.
Step-by-Step Explanation:
Stops, traffic, and speed variations make instant speed fluctuate, while average speed spans the entire elapsed time.
19
Short Answer
Hard
2 Marks
If Car A travels 150 km in 2 hours and Car B travels 210 km in 3 hours, which car traveled faster? Explain your reasoning with calculations.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Car A traveled faster. Car A's speed was 150 ÷ 2 = 75 km/h, while Car B's speed was 210 ÷ 3 = 70 km/h. 75 km/h > 70 km/h.
Step-by-Step Explanation:
Compare speeds: Car A (75 km/h) vs Car B (70 km/h). Car A is faster by 5 km/h.
20
Short Answer
Medium
1 Mark
A driver calculates travel time for 200 km at 50 km/h as '50 ÷ 200 = 0.25 hours'. What is the error and the correct travel time?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 hours
Step-by-Step Explanation:
The driver divided speed by distance. Time = Distance ÷ Speed = 200 ÷ 50 = 4 hours.
21
Short Answer
Medium
1 Mark
Liam says: 'If I walk 6 km in 2 hours, my speed is 6 × 2 = 12 km/h.' Explain Liam's error and state his correct walking speed.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3 km/h
Step-by-Step Explanation:
Liam multiplied distance by time instead of dividing. Correct speed = 6 ÷ 2 = 3 km/h.
22
Fill in the Blanks
Medium
1 Mark
Fill in the missing time: Speed = 45 km/h, Distance = 135 km, Time = [ ? ] hours.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3
Step-by-Step Explanation:
Time = 135 ÷ 45 = 3 hours.
23
Fill in the Blanks
Medium
1 Mark
Complete the equation: Distance = 360 km, Time = 4 hours, Speed = [ ? ] km/h.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
90
Step-by-Step Explanation:
Speed = 360 ÷ 4 = 90 km/h.
24
Short Answer
Medium
1 Mark
A marathon runner maintains a steady pace of 12 km/h. How many kilometers does the runner complete in 2 hours and 30 minutes?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
30 km
Step-by-Step Explanation:
2 hours and 30 minutes = 2.5 hours. Distance = 12 × 2.5 = 30 km.
25
Short Answer
Medium
1 Mark
An express courier drives 180 km in the morning taking 3 hours, and 120 km in the afternoon taking 2 hours. What was the courier's average speed over the entire trip?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
60 km/h
Step-by-Step Explanation:
Total distance = 180 + 120 = 300 km. Total time = 3 + 2 = 5 hours. Average speed = 300 ÷ 5 = 60 km/h.
26
Short Answer
Medium
1 Mark
A passenger bus departs from the Eco-Friendly Solar Park and drives 210 km at a constant speed of 70 km/h. How many hours does the journey take?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3 hours
Step-by-Step Explanation:
Time = Distance ÷ Speed = 210 ÷ 70 = 3 hours.
27
Multiple Choice
Easy
1 Mark
Which formula correctly expresses Speed in terms of Distance and Time?
A
Speed = Distance ÷ Time
B
Speed = Distance × Time
C
Speed = Time ÷ Distance
D
Speed = Distance + Time
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Speed = Distance ÷ Time
Step-by-Step Explanation:
Speed is defined as rate of distance covered per unit of time: Speed = Distance ÷ Time.
28
Multiple Choice
Easy
1 Mark
How long does it take a cyclist traveling at 15 km/h to cover a distance of 90 km?
A
6 hours
B
5 hours
C
7 hours
D
8 hours
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
6 hours
Step-by-Step Explanation:
Time = Distance ÷ Speed = 90 ÷ 15 = 6 hours.
29
Multiple Choice
Easy
1 Mark
If a delivery van travels at 95 km/h for 3 hours, how far does it travel?
A
285 km
B
190 km
C
98 km
D
380 km
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
285 km
Step-by-Step Explanation:
Distance = Speed × Time = 95 × 3 = 285 km.
30
Multiple Choice
Easy
1 Mark
A high-speed train travels 270 km in 3 hours at a steady pace. What is its average speed?
A
90 km/h
B
80 km/h
C
105 km/h
D
810 km/h
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
90 km/h
Step-by-Step Explanation:
Speed = Distance ÷ Time = 270 ÷ 3 = 90 km/h.
31
Short Answer
Hard
2 Marks
A pilot flies 600 km to an island at 200 km/h, and returns along the same route at 300 km/h. What is the average speed for the entire round trip?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
240 km/h
Step-by-Step Explanation:
Outbound time = 600 ÷ 200 = 3 h. Return time = 600 ÷ 300 = 2 h. Total distance = 1,200 km. Total time = 5 h. Average speed = 1,200 ÷ 5 = 240 km/h.
32
Short Answer
Hard
2 Marks
Two trains leave stations 400 km apart at the same time heading toward each other. Train A travels at 60 km/h and Train B travels at 40 km/h. After how many hours will they meet?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 hours
Step-by-Step Explanation:
Combined speed = 60 + 40 = 100 km/h. Time to meet = 400 ÷ 100 = 4 hours.
33
Short Answer
Hard
2 Marks
Why is average speed often different from instantaneous speed on an actual highway trip? Explain using a real situation.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Instantaneous speed is the speed at a single moment (e.g. slowing for tolls or stopping at traffic lights), whereas average speed divides total trip distance by total elapsed time including stops.
Step-by-Step Explanation:
Stops, traffic, and speed variations make instant speed fluctuate, while average speed spans the entire elapsed time.
34
Short Answer
Hard
2 Marks
If Car A travels 150 km in 2 hours and Car B travels 210 km in 3 hours, which car traveled faster? Explain your reasoning with calculations.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Car A traveled faster. Car A's speed was 150 ÷ 2 = 75 km/h, while Car B's speed was 210 ÷ 3 = 70 km/h. 75 km/h > 70 km/h.
Step-by-Step Explanation:
Compare speeds: Car A (75 km/h) vs Car B (70 km/h). Car A is faster by 5 km/h.
35
Short Answer
Medium
1 Mark
A driver calculates travel time for 200 km at 50 km/h as '50 ÷ 200 = 0.25 hours'. What is the error and the correct travel time?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 hours
Step-by-Step Explanation:
The driver divided speed by distance. Time = Distance ÷ Speed = 200 ÷ 50 = 4 hours.
36
Short Answer
Medium
1 Mark
Liam says: 'If I walk 6 km in 2 hours, my speed is 6 × 2 = 12 km/h.' Explain Liam's error and state his correct walking speed.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3 km/h
Step-by-Step Explanation:
Liam multiplied distance by time instead of dividing. Correct speed = 6 ÷ 2 = 3 km/h.
37
Fill in the Blanks
Medium
1 Mark
Fill in the missing time: Speed = 45 km/h, Distance = 135 km, Time = [ ? ] hours.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3
Step-by-Step Explanation:
Time = 135 ÷ 45 = 3 hours.
38
Fill in the Blanks
Medium
1 Mark
Complete the equation: Distance = 360 km, Time = 4 hours, Speed = [ ? ] km/h.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
90
Step-by-Step Explanation:
Speed = 360 ÷ 4 = 90 km/h.
39
Short Answer
Medium
1 Mark
A marathon runner maintains a steady pace of 12 km/h. How many kilometers does the runner complete in 2 hours and 30 minutes?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
30 km
Step-by-Step Explanation:
2 hours and 30 minutes = 2.5 hours. Distance = 12 × 2.5 = 30 km.
40
Short Answer
Medium
1 Mark
An express courier drives 180 km in the morning taking 3 hours, and 120 km in the afternoon taking 2 hours. What was the courier's average speed over the entire trip?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
60 km/h
Step-by-Step Explanation:
Total distance = 180 + 120 = 300 km. Total time = 3 + 2 = 5 hours. Average speed = 300 ÷ 5 = 60 km/h.
41
Short Answer
Medium
1 Mark
A passenger bus departs from the Harbor Marine Terminal and drives 210 km at a constant speed of 70 km/h. How many hours does the journey take?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3 hours
Step-by-Step Explanation:
Time = Distance ÷ Speed = 210 ÷ 70 = 3 hours.
42
Multiple Choice
Easy
1 Mark
Which formula correctly expresses Speed in terms of Distance and Time?
A
Speed = Distance ÷ Time
B
Speed = Distance × Time
C
Speed = Time ÷ Distance
D
Speed = Distance + Time
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Speed = Distance ÷ Time
Step-by-Step Explanation:
Speed is defined as rate of distance covered per unit of time: Speed = Distance ÷ Time.
43
Multiple Choice
Easy
1 Mark
How long does it take a cyclist traveling at 15 km/h to cover a distance of 75 km?
A
5 hours
B
4 hours
C
6 hours
D
7 hours
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5 hours
Step-by-Step Explanation:
Time = Distance ÷ Speed = 75 ÷ 15 = 5 hours.
44
Multiple Choice
Easy
1 Mark
If a delivery van travels at 85 km/h for 3 hours, how far does it travel?
A
255 km
B
170 km
C
88 km
D
340 km
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
255 km
Step-by-Step Explanation:
Distance = Speed × Time = 85 × 3 = 255 km.
45
Multiple Choice
Easy
1 Mark
A high-speed train travels 160 km in 2 hours at a steady pace. What is its average speed?
A
80 km/h
B
70 km/h
C
95 km/h
D
320 km/h
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
80 km/h
Step-by-Step Explanation:
Speed = Distance ÷ Time = 160 ÷ 2 = 80 km/h.
46
Short Answer
Hard
2 Marks
A pilot flies 600 km to an island at 200 km/h, and returns along the same route at 300 km/h. What is the average speed for the entire round trip?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
240 km/h
Step-by-Step Explanation:
Outbound time = 600 ÷ 200 = 3 h. Return time = 600 ÷ 300 = 2 h. Total distance = 1,200 km. Total time = 5 h. Average speed = 1,200 ÷ 5 = 240 km/h.
47
Short Answer
Hard
2 Marks
Two trains leave stations 400 km apart at the same time heading toward each other. Train A travels at 60 km/h and Train B travels at 40 km/h. After how many hours will they meet?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 hours
Step-by-Step Explanation:
Combined speed = 60 + 40 = 100 km/h. Time to meet = 400 ÷ 100 = 4 hours.
48
Short Answer
Hard
2 Marks
Why is average speed often different from instantaneous speed on an actual highway trip? Explain using a real situation.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Instantaneous speed is the speed at a single moment (e.g. slowing for tolls or stopping at traffic lights), whereas average speed divides total trip distance by total elapsed time including stops.
Step-by-Step Explanation:
Stops, traffic, and speed variations make instant speed fluctuate, while average speed spans the entire elapsed time.
49
Short Answer
Hard
2 Marks
If Car A travels 150 km in 2 hours and Car B travels 210 km in 3 hours, which car traveled faster? Explain your reasoning with calculations.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Car A traveled faster. Car A's speed was 150 ÷ 2 = 75 km/h, while Car B's speed was 210 ÷ 3 = 70 km/h. 75 km/h > 70 km/h.
Step-by-Step Explanation:
Compare speeds: Car A (75 km/h) vs Car B (70 km/h). Car A is faster by 5 km/h.
50
Short Answer
Medium
1 Mark
A driver calculates travel time for 200 km at 50 km/h as '50 ÷ 200 = 0.25 hours'. What is the error and the correct travel time?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 hours
Step-by-Step Explanation:
The driver divided speed by distance. Time = Distance ÷ Speed = 200 ÷ 50 = 4 hours.