Complete The Table.A Car Travels 60 Km In 36 Minutes. At The Same Average Speed, How Far Will It Travel In 1 Hour 12 Minutes?
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Introduction
In this article, we will explore the concept of calculating distance traveled by a car at a given average speed. We will use a real-world scenario to demonstrate how to apply mathematical formulas to solve problems related to speed, distance, and time.
Understanding the Problem
A car travels 60 km in 36 minutes. We are asked to find out how far it will travel in 1 hour 12 minutes at the same average speed.
Step 1: Convert Time to Hours
To solve this problem, we need to convert the given time from minutes to hours. We know that 1 hour = 60 minutes. Therefore, we can convert 36 minutes to hours as follows:
36 minutes = 36/60 = 0.6 hours
Similarly, we can convert 1 hour 12 minutes to hours as follows:
1 hour 12 minutes = 1 + 12/60 = 1.2 hours
Step 2: Calculate the Average Speed
We know that the car travels 60 km in 0.6 hours. To find the average speed, we can use the formula:
Average Speed = Distance / Time
Substituting the given values, we get:
Average Speed = 60 km / 0.6 hours = 100 km/h
Step 3: Calculate the Distance Traveled
Now that we have the average speed, we can use it to find the distance traveled by the car in 1 hour 12 minutes. We can use the formula:
Distance = Average Speed x Time
Substituting the values, we get:
Distance = 100 km/h x 1.2 hours = 120 km
Conclusion
In this article, we used a real-world scenario to demonstrate how to calculate distance traveled by a car at a given average speed. We converted time from minutes to hours, calculated the average speed, and used it to find the distance traveled by the car in 1 hour 12 minutes.
Tips and Tricks
- When solving problems related to speed, distance, and time, make sure to convert time from minutes to hours.
- Use the formula: Average Speed = Distance / Time to find the average speed.
- Use the formula: Distance = Average Speed x Time to find the distance traveled.
Real-World Applications
The concept of calculating distance traveled by a car at a given average speed has numerous real-world applications. For example:
- In transportation planning, knowing the average speed of a car can help in estimating travel time and distance.
- In logistics, calculating the distance traveled by a car can help in determining the cost of transportation and fuel consumption.
- In emergency services, knowing the average speed of a car can help in responding to emergencies and estimating the time of arrival.
Common Mistakes
- Failing to convert time from minutes to hours can lead to incorrect calculations.
- Not using the correct formula to calculate average speed can result in incorrect answers.
- Not considering the unit of measurement (e.g., kilometers per hour) can lead to incorrect calculations.
Frequently Asked Questions
- Q: How do I calculate the average speed of a car? A: To calculate the average speed, use the formula: Average Speed = Distance / Time.
- Q: How do I convert time from minutes to hours? A: To convert time from minutes to hours, divide the number of minutes by 60.
- Q: What is the unit of measurement for average speed? A: The unit of measurement for average speed is kilometers per hour (km/h) or miles per hour (mph).
Conclusion
In conclusion, calculating distance traveled by a car at a given average speed is a fundamental concept in mathematics. By understanding the formulas and techniques involved, we can apply this concept to real-world scenarios and make informed decisions.
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Q&A: Calculating Distance Traveled by a Car
Q1: How do I calculate the average speed of a car?
A1: To calculate the average speed of a car, use the formula:
Average Speed = Distance / Time
For example, if a car travels 60 km in 0.6 hours, the average speed is:
Average Speed = 60 km / 0.6 hours = 100 km/h
Q2: How do I convert time from minutes to hours?
A2: To convert time from minutes to hours, divide the number of minutes by 60. For example:
36 minutes = 36/60 = 0.6 hours
1 hour 12 minutes = 1 + 12/60 = 1.2 hours
Q3: What is the unit of measurement for average speed?
A3: The unit of measurement for average speed is kilometers per hour (km/h) or miles per hour (mph).
Q4: How do I calculate the distance traveled by a car?
A4: To calculate the distance traveled by a car, use the formula:
Distance = Average Speed x Time
For example, if a car travels at an average speed of 100 km/h for 1.2 hours, the distance traveled is:
Distance = 100 km/h x 1.2 hours = 120 km
Q5: What are some common mistakes to avoid when calculating distance traveled by a car?
A5: Some common mistakes to avoid when calculating distance traveled by a car include:
- Failing to convert time from minutes to hours
- Not using the correct formula to calculate average speed
- Not considering the unit of measurement (e.g., kilometers per hour)
- Not rounding answers to the correct number of decimal places
Q6: How do I apply the concept of calculating distance traveled by a car to real-world scenarios?
A6: The concept of calculating distance traveled by a car has numerous real-world applications, including:
- Transportation planning: Knowing the average speed of a car can help in estimating travel time and distance.
- Logistics: Calculating the distance traveled by a car can help in determining the cost of transportation and fuel consumption.
- Emergency services: Knowing the average speed of a car can help in responding to emergencies and estimating the time of arrival.
Q7: What are some additional formulas and techniques I can use to calculate distance traveled by a car?
A7: Some additional formulas and techniques you can use to calculate distance traveled by a car include:
- The formula: Distance = Speed x Time
- The formula: Speed = Distance / Time
- The concept of unit conversion (e.g., converting kilometers to miles)
- The concept of rounding answers to the correct number of decimal places
Q8: How do I check my work and ensure that my answers are accurate?
A8: To check your work and ensure that your answers are accurate, follow these steps:
- Read the problem carefully and make sure you understand what is being asked.
- Use the correct formulas and techniques to solve the problem.
- Check your work by plugging in your answers to the original problem.
- Round your answers to the correct number of decimal places.
Q9: What are some resources I can use to learn more about calculating distance traveled by a car?
A9: Some resources you can use to learn more about calculating distance traveled by a car include:
- Online tutorials and videos
- Math textbooks and workbooks
- Online forums and discussion groups
- Real-world applications and examples
Q10: How do I apply the concept of calculating distance traveled by a car to my everyday life?
A10: The concept of calculating distance traveled by a car can be applied to your everyday life in a variety of ways, including:
- Estimating travel time and distance for road trips
- Calculating the cost of transportation and fuel consumption
- Responding to emergencies and estimating the time of arrival
- Making informed decisions about transportation and logistics.