The worksheet provided is about solving problems related to
Time, Speed, and Distance using the formulas:
1.
Speed (S) = Distance (D) ÷ Time (T)
2.
Time (T) = Distance (D) ÷ Speed (S)
3.
Distance (D) = Speed (S) × Time (T)
Let's solve each problem step by step.
---
Problem 4
-
Given:
- Speed (S) = 25 km/h
- Time (T) = 2 hours
-
To find: Distance (D)
-
Formula:
\[
D = S \times T
\]
-
Calculation:
\[
D = 25 \, \text{km/h} \times 2 \, \text{hours} = 50 \, \text{km}
\]
-
Answer:
\[
D = 50 \, \text{km}
\]
---
Problem 5
-
Given:
- Distance (D) = 100 km
- Time (T) = 4 hours
-
To find: Speed (S)
-
Formula:
\[
S = \frac{D}{T}
\]
-
Calculation:
\[
S = \frac{100 \, \text{km}}{4 \, \text{hours}} = 25 \, \text{km/h}
\]
-
Answer:
\[
S = 25 \, \text{km/h}
\]
---
Problem 6
-
Given:
- Speed (S) = 60 km/h
- Time (T) = 3 hours
-
To find: Distance (D)
-
Formula:
\[
D = S \times T
\]
-
Calculation:
\[
D = 60 \, \text{km/h} \times 3 \, \text{hours} = 180 \, \text{km}
\]
-
Answer:
\[
D = 180 \, \text{km}
\]
---
Problem 7
-
Given:
- Distance (D) = 120 km
- Speed (S) = 40 km/h
-
To find: Time (T)
-
Formula:
\[
T = \frac{D}{S}
\]
-
Calculation:
\[
T = \frac{120 \, \text{km}}{40 \, \text{km/h}} = 3 \, \text{hours}
\]
-
Answer:
\[
T = 3 \, \text{hours}
\]
---
Problem 8
-
Given:
- Distance (D) = 30 km
- Speed (S) = 10 km/h
-
To find: Time (T)
-
Formula:
\[
T = \frac{D}{S}
\]
-
Calculation:
\[
T = \frac{30 \, \text{km}}{10 \, \text{km/h}} = 3 \, \text{hours}
\]
-
Answer:
\[
T = 3 \, \text{hours}
\]
---
Problem 9
-
Given:
- Distance (D) = 200 km
- Time (T) = 5 hours
-
To find: Speed (S)
-
Formula:
\[
S = \frac{D}{T}
\]
-
Calculation:
\[
S = \frac{200 \, \text{km}}{5 \, \text{hours}} = 40 \, \text{km/h}
\]
-
Answer:
\[
S = 40 \, \text{km/h}
\]
---
Problem 10
-
Given:
- Distance (D) = 150 km
- Time (T) = 5 hours
-
To find: Speed (S)
-
Formula:
\[
S = \frac{D}{T}
\]
-
Calculation:
\[
S = \frac{150 \, \text{km}}{5 \, \text{hours}} = 30 \, \text{km/h}
\]
-
Answer:
\[
S = 30 \, \text{km/h}
\]
---
Problem 11
-
Given:
- Distance (D) = 250 km
- Speed (S) = 50 km/h
-
To find: Time (T)
-
Formula:
\[
T = \frac{D}{S}
\]
-
Calculation:
\[
T = \frac{250 \, \text{km}}{50 \, \text{km/h}} = 5 \, \text{hours}
\]
-
Answer:
\[
T = 5 \, \text{hours}
\]
---
Problem 12
-
Given:
- Distance (D) = 400 km
- Speed (S) = 80 km/h
-
To find: Time (T)
-
Formula:
\[
T = \frac{D}{S}
\]
-
Calculation:
\[
T = \frac{400 \, \text{km}}{80 \, \text{km/h}} = 5 \, \text{hours}
\]
-
Answer:
\[
T = 5 \, \text{hours}
\]
---
Problem 13
-
Given:
- Distance (D) = 360 km
- Time (T) = 6 hours
-
To find: Speed (S)
-
Formula:
\[
S = \frac{D}{T}
\]
-
Calculation:
\[
S = \frac{360 \, \text{km}}{6 \, \text{hours}} = 60 \, \text{km/h}
\]
-
Answer:
\[
S = 60 \, \text{km/h}
\]
---
Final Answers
\[
\boxed{
\begin{aligned}
&\text{Problem 4: } D = 50 \, \text{km} \\
&\text{Problem 5: } S = 25 \, \text{km/h} \\
&\text{Problem 6: } D = 180 \, \text{km} \\
&\text{Problem 7: } T = 3 \, \text{hours} \\
&\text{Problem 8: } T = 3 \, \text{hours} \\
&\text{Problem 9: } S = 40 \, \text{km/h} \\
&\text{Problem 10: } S = 30 \, \text{km/h} \\
&\text{Problem 11: } T = 5 \, \text{hours} \\
&\text{Problem 12: } T = 5 \, \text{hours} \\
&\text{Problem 13: } S = 60 \, \text{km/h}
\end{aligned}
}
\]
Parent Tip: Review the logic above to help your child master the concept of distance rate time worksheet.
