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whats the avrige speed to her walking to her friends house then school

To determine the average speed for the given graph of distance (in km) over time, we can break the journey into two parts: from home to a friend's house, and then from the friend's house to school.

### Step-by-step analysis:

1. **From Home to Friend's House:**
   - The first segment of the graph shows the distance increasing from 0 km to approximately 1 km between 0 to 20 minutes.
   - The formula for speed is:
     \[
     \text{Speed} = \frac{\text{Distance}}{\text{Time}}
     \]
     - Distance: 1 km
     - Time: 20 minutes (or 1/3 hours)
     - Speed for this segment:
     \[
     \text{Speed} = \frac{1 \text{ km}}{\frac{1}{3} \text{ hours}} = 3 \text{ km/h}
     \]

2. **From Friend's House to School:**
   - The second segment shows an increase from 1 km to 3 km, taking 40 minutes (from 20 to 60 minutes).
   - Distance: 2 km (from 1 km to 3 km)
   - Time: 40 minutes (or 2/3 hours)
   - Speed for this segment:
     \[
     \text{Speed} = \frac{2 \text{ km}}{\frac{2}{3} \text{ hours}} = 3 \text{ km/h}
     \]

### Overall Average Speed:
The total distance is 3 km, and the total time taken is 1 hour (60 minutes). Therefore, the average speed for the entire journey is:
\[
\text{Average Speed} = \frac{3 \text{ km}}{1 \text{ hour}} = 3 \text{ km/h}
\]

So, the average speed for the entire journey is **3 km/h**.

Would you like more details or further clarification?

### Related questions:
1. What is the difference between instantaneous speed and average speed?
2. How does the slope of a distance-time graph relate to speed?
3. If she had walked at a constant speed, would her average speed change?
4. How can we determine the time spent at her friend's house if it was a rest stop?
5. What would happen to the average speed if she slowed down between her friend's house and school?

**Tip:** On a distance-time graph, a steeper slope indicates a higher speed!

What's the average speed of her walking to her friend's house and then to school?

Learn how to calculate the average speed from a distance-time graph for a journey from home to a friend's house and then to school. The problem involves key mathematical concepts like speed calculation, distance-time graph interpretation, and average speed formula. Suitable for students in Grades 6-8.

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