Speed and Distance Word Problems
The problems provided involve basic calculations using the formula for speed, distance, and time:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
\[
\text{Distance} = \text{Speed} \times \text{Time}
\]
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]
Let's solve each problem step by step.
---
Problem 1:
Yesterday I drove 9 hours at a speed of 120 km/h. How many kilometers did I drive?
#### Solution:
We use the formula:
\[
\text{Distance} = \text{Speed} \times \text{Time}
\]
Here:
- Speed = 120 km/h
- Time = 9 hours
\[
\text{Distance} = 120 \, \text{km/h} \times 9 \, \text{hours} = 1080 \, \text{km}
\]
#### Answer:
\[
\boxed{1080}
\]
---
Problem 2:
A UFO has a speed of 3,000 km/h. The distance between A and B is 7,500 km. How long will it take the UFO to fly from A to B?
#### Solution:
We use the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]
Here:
- Distance = 7,500 km
- Speed = 3,000 km/h
\[
\text{Time} = \frac{7,500 \, \text{km}}{3,000 \, \text{km/h}} = 2.5 \, \text{hours}
\]
#### Answer:
\[
\boxed{2.5}
\]
---
Problem 3:
The distance between my house and work is 50 km. If I go by motorbike at an average speed of 25 km/h, how long will this distance take?
#### Solution:
We use the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]
Here:
- Distance = 50 km
- Speed = 25 km/h
\[
\text{Time} = \frac{50 \, \text{km}}{25 \, \text{km/h}} = 2 \, \text{hours}
\]
#### Answer:
\[
\boxed{2}
\]
---
Problem 4:
An airplane flies at an average speed of 1,000 km/h. The distance between London and New York is 5,500 km. How long will it take the airplane to travel between the 2 cities?
#### Solution:
We use the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]
Here:
- Distance = 5,500 km
- Speed = 1,000 km/h
\[
\text{Time} = \frac{5,500 \, \text{km}}{1,000 \, \text{km/h}} = 5.5 \, \text{hours}
\]
#### Answer:
\[
\boxed{5.5}
\]
---
Problem 5:
Yesterday I walked 12 kilometers in the park at an average speed of 2.5 km/h. For how long did I walk in the park?
#### Solution:
We use the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]
Here:
- Distance = 12 km
- Speed = 2.5 km/h
\[
\text{Time} = \frac{12 \, \text{km}}{2.5 \, \text{km/h}} = 4.8 \, \text{hours}
\]
#### Answer:
\[
\boxed{4.8}
\]
---
Problem 6:
The distance between Amsterdam and Paris is 500 km. It will take a TGV train 2.5 hours to travel between the 2 cities. How fast is this train?
#### Solution:
We use the formula:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
Here:
- Distance = 500 km
- Time = 2.5 hours
\[
\text{Speed} = \frac{500 \, \text{km}}{2.5 \, \text{hours}} = 200 \, \text{km/h}
\]
#### Answer:
\[
\boxed{200}
\]
---
Final Answers:
1. \(\boxed{1080}\)
2. \(\boxed{2.5}\)
3. \(\boxed{2}\)
4. \(\boxed{5.5}\)
5. \(\boxed{4.8}\)
6. \(\boxed{200}\)
Parent Tip: Review the logic above to help your child master the concept of speed problems worksheet.
