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Speed Distance Time Formula

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Speed Distance Time Formula

Speed Distance Time Formula

Speed formula illustration

🏃‍♂️ Part 1: Understanding the Formula

1. The speed formula is: Speed = Distance ÷ Time

Fill in the blanks to complete the definitions:

Speed is how _______ something moves in a certain amount of _______.

Distance is how _______ something travels (measured in metres or kilometres).

Time is how _______ it takes to travel that distance (measured in seconds, minutes or hours).

2. Circle the correct units for each measurement:

Speed:

metres per second (m/s)

kilometres per hour (km/h)

Both of the above

None of the above

🚴‍♀️ Part 2: Basic Speed Calculations

3. A cyclist travels 15 kilometres in 1.5 hours. What is their speed?

Given: Distance = _____ km, Time = _____ hours

Formula: Speed = Distance ÷ Time

Answer: The cyclist's speed is _______ km/h

4. A runner moves at 5 metres per second. How far will they run in 12 seconds?

Given: Speed = _____ m/s, Time = _____ seconds

Rearranged formula: Distance = Speed × Time

Answer: The runner will travel _______ metres

5. A car travels 120 kilometres at 60 km/h. How long does the journey take?

Given: Distance = _____ km, Speed = _____ km/h

Rearranged formula: Time = Distance ÷ Speed

Answer: The journey takes _______ hours

🏃‍♀️ Part 3: Real-Life Scenarios

6. Sarah walks to school every day. She walks 800 metres in 10 minutes. What is her walking speed in metres per minute?

Answer: _______ metres per minute

7. A bus travels from Auckland to Hamilton (120 km) in 2 hours. What is the average speed of the bus?

Answer: _______ km/h

8. Multiple choice: A plane flies at 800 km/h for 3 hours. How far does it travel?

267 km

803 km

2400 km

2667 km

📊 Part 4: Problem Solving & Analysis

9. Complete the table by calculating the missing values:
Distance Time Speed
100 metres 20 seconds _______ m/s
_______ km 4 hours 50 km/h
300 metres _______ seconds 6 m/s
10. Check all the statements that are TRUE:

If you increase speed and keep time the same, distance increases

If you increase time and keep speed the same, distance decreases

Speed and time are inversely related when distance stays constant

The units for speed must always match the units for distance and time

🎯 Part 5: Create Your Own Problem

11. Create your own speed problem using a New Zealand context (e.g., travelling between cities, sports, cycling to school). Include all the information needed and solve it.

My Problem:

Given Information:

Distance = _____________

Time = _____________

Speed = _____________

Working:

Answer:

🤔 Part 6: Reflection

12. Explain in your own words why it's important to use the correct units when calculating speed:
13. Give three real-life examples where knowing how to calculate speed would be useful:

1. _________________________________________________

2. _________________________________________________

3. _________________________________________________

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