Problem Analysis:
The task involves calculating the
average speed for different scenarios. The formula for average speed is:
\[
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}
\]
We are given two columns:
Distance (km) and
Time (hours). We need to calculate the average speed in kilometers per hour (km/h) for each scenario.
Step-by-Step Solution:
#### 1.
Understanding the Formula
The formula for average speed is:
\[
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}
\]
-
Distance is given in kilometers (km).
-
Time is given in hours (h).
#### 2.
Calculating Average Speed for Each Scenario
We will use the formula for each row of data provided in the table.
---
####
Row 1:
-
Distance: 48 km
-
Time: 0.5 h
\[
\text{Average Speed} = \frac{48 \, \text{km}}{0.5 \, \text{h}} = 96 \, \text{km/h}
\]
---
####
Row 2:
-
Distance: 300 km
-
Time: 5 h
\[
\text{Average Speed} = \frac{300 \, \text{km}}{5 \, \text{h}} = 60 \, \text{km/h}
\]
---
####
Row 3:
-
Distance: 200 km
-
Time: 4 h
\[
\text{Average Speed} = \frac{200 \, \text{km}}{4 \, \text{h}} = 50 \, \text{km/h}
\]
---
####
Row 4:
-
Distance: 220 km
-
Time: 2.5 h
\[
\text{Average Speed} = \frac{220 \, \text{km}}{2.5 \, \text{h}} = 88 \, \text{km/h}
\]
---
####
Row 5:
-
Distance: 100 km
-
Time: 2 h
\[
\text{Average Speed} = \frac{100 \, \text{km}}{2 \, \text{h}} = 50 \, \text{km/h}
\]
---
####
Row 6:
-
Distance: 150 km
-
Time: 3 h
\[
\text{Average Speed} = \frac{150 \, \text{km}}{3 \, \text{h}} = 50 \, \text{km/h}
\]
---
####
Row 7:
-
Distance: 250 km
-
Time: 5 h
\[
\text{Average Speed} = \frac{250 \, \text{km}}{5 \, \text{h}} = 50 \, \text{km/h}
\]
---
####
Row 8:
-
Distance: 350 km
-
Time: 7 h
\[
\text{Average Speed} = \frac{350 \, \text{km}}{7 \, \text{h}} = 50 \, \text{km/h}
\]
---
####
Row 9:
-
Distance: 400 km
-
Time: 8 h
\[
\text{Average Speed} = \frac{400 \, \text{km}}{8 \, \text{h}} = 50 \, \text{km/h}
\]
---
####
Row 10:
-
Distance: 500 km
-
Time: 10 h
\[
\text{Average Speed} = \frac{500 \, \text{km}}{10 \, \text{h}} = 50 \, \text{km/h}
\]
---
Final Answer:
The calculated average speeds for each scenario are:
1. 96 km/h
2. 60 km/h
3. 50 km/h
4. 88 km/h
5. 50 km/h
6. 50 km/h
7. 50 km/h
8. 50 km/h
9. 50 km/h
10. 50 km/h
\boxed{96, 60, 50, 88, 50, 50, 50, 50, 50, 50}
Parent Tip: Review the logic above to help your child master the concept of time interval worksheet grade.