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:

  1. Outward Distance: The graph shows Dave travels 30 km away from home.
  2. 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:

Average Speed=DistanceTime=30km1hour=30km/h.\text{Average Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{30 \, \text{km}}{1 \, \text{hour}} = 30 \, \text{km/h}.

Answer for (a): 30 km/h.

Do you want further clarification or assistance?


Related Questions:

  1. What is the formula for average speed in more complex scenarios?
  2. How would the calculation change if Dave’s journey included multiple segments with different speeds?
  3. Can you calculate the total distance traveled (outward + homeward) from the graph?
  4. What is the significance of the slope of the line on this distance-time graph?
  5. How does average speed differ from instantaneous speed?

Tip:

Always check the units of time and distance to ensure consistency when calculating speed

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Distance-Time Graphs
Speed Calculation

Formulas

Average Speed = Distance / Time

Theorems

-

Suitable Grade Level

Grade 6-8