Speed Distance Time Applications
🏃♂️ Part 1: Formula Review
1. Complete the speed formula:
Speed = __________ ÷ __________
2. Rearrange the formula to find distance:
Distance = __________ × __________
3. Rearrange the formula to find time:
Time = __________ ÷ __________
4. What are the common units for measuring speed in New Zealand?
kilometres per hour (km/h)
metres per second (m/s)
miles per hour (mph)
centimetres per minute (cm/min)
🚗 Part 2: Real-World Calculations
5. A car travels 120 kilometres in 2 hours. Calculate the car's average speed.
Answer: ________ km/h
6. Sarah runs at a speed of 8 km/h for 45 minutes. How far does she travel?
Answer: ________ kilometres
7. A ferry travels 15 kilometres at a speed of 25 km/h. How long does the journey take?
Answer: ________ hours or ________ minutes
8. Which scenario would have the fastest speed?
A cyclist travelling 30 km in 2 hours
A runner covering 10 km in 1 hour
A car driving 80 km in 1 hour
A walker covering 5 km in 1 hour
🏃♀️ Part 3: Sports Applications
9. Match each sport with its typical speed range:
1. Marathon runner
2. Professional cyclist
3. Swimming (freestyle)
4. Walking
A. 2-3 km/h
B. 5-6 km/h
C. 15-20 km/h
D. 40-50 km/h
10. A rugby player runs 80 metres in 10 seconds during a try. Calculate their speed in metres per second.
Answer: ________ m/s
11. Convert your answer from question 10 to kilometres per hour. (Hint: multiply by 3.6)
Answer: ________ km/h
✈️ Part 4: Travel Planning
12. You're planning a road trip from Auckland to Wellington (650 km). If you drive at an average speed of 100 km/h, how long will the journey take?
Answer: ________ hours
13. A plane flies from Christchurch to Sydney (2,100 km) in 3 hours. What is the plane's average speed?
Answer: ________ km/h
14. Which factors might affect travel time in real life?
Traffic conditions
Weather conditions
Rest stops
Speed limits
Road conditions
🚀 Part 5: Extension Challenge
15. A spacecraft travels at 28,000 km/h. How far would it travel in one day (24 hours)?
Answer: ________ kilometres
16. Design your own speed, distance, time problem based on a real-world scenario. Include the question and show your working to solve it.
17. Working space for your problem:
💭 Part 6: Reflection
18. Describe three ways that understanding speed, distance, and time is useful in everyday life:
19. What was the most challenging part of this worksheet and why?
20. Rate your confidence with speed, distance, and time calculations:
Very confident - I can solve any problem!
Confident - I understand most concepts
Somewhat confident - I need more practice
Not confident - I need help with these concepts
