Math Problem Statement
only a
What is Dave's average speed on his outward journey?
Solution
To determine Dave's average speed on his outward journey:
- Outward Distance: The graph shows Dave travels 30 km away from home.
- Outward Time: He starts at 2:00 PM and reaches his destination at 3:00 PM, so the journey takes 1 hour.
Average Speed is calculated as:
Answer for (a): 30 km/h.
Do you want further clarification or assistance?
Related Questions:
- What is the formula for average speed in more complex scenarios?
- How would the calculation change if Dave’s journey included multiple segments with different speeds?
- Can you calculate the total distance traveled (outward + homeward) from the graph?
- What is the significance of the slope of the line on this distance-time graph?
- How does average speed differ from instantaneous speed?
Tip:
Always check the units of time and distance to ensure consistency when calculating speed
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Math Problem Analysis
Mathematical Concepts
Distance-Time Graphs
Speed Calculation
Formulas
Average Speed = Distance / Time
Theorems
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Suitable Grade Level
Grade 6-8