Problem Analysis:
The task involves solving problems related to
speed, distance, and time using the formula:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
We are given two scenarios to solve for speed. Let's break them down step by step.
---
Scenario 1: Large Truck
-
Given Data:
- Distance traveled by the truck: \( 200 \) kilometers
- Time taken: \( 5 \) hours
-
Objective: Find the speed of the truck.
#### Solution:
Using the formula for speed:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
Substitute the given values:
\[
\text{Speed} = \frac{200 \text{ km}}{5 \text{ hours}}
\]
Perform the division:
\[
\text{Speed} = 40 \text{ km/hour}
\]
#### Final Answer for Scenario 1:
\[
\boxed{40 \text{ km/hour}}
\]
---
Scenario 2: Family Car at Amusement Park
-
Given Data:
- Distance traveled by the car: \( 300 \) meters
- Time taken: \( 6 \) seconds
-
Objective: Find the speed of the family car.
#### Solution:
Using the formula for speed:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
Substitute the given values:
\[
\text{Speed} = \frac{300 \text{ meters}}{6 \text{ seconds}}
\]
Perform the division:
\[
\text{Speed} = 50 \text{ meters/second}
\]
#### Final Answer for Scenario 2:
\[
\boxed{50 \text{ m/s}}
\]
---
Summary of Solutions:
1. Speed of the large truck: \(\boxed{40 \text{ km/hour}}\)
2. Speed of the family car: \(\boxed{50 \text{ m/s}}\)
These answers are derived directly from the formula \(\text{Speed} = \frac{\text{Distance}}{\text{Time}}\), ensuring accuracy and consistency with the problem requirements.
Parent Tip: Review the logic above to help your child master the concept of speed time distance worksheet.
