Converting Time from Minutes to Hours

Oct 13, 2025 by wbrum.org 42 views

Understanding the Problem

Michael travels 80 miles in 120 minutes, and we need to determine the rate at which he traveled. This problem involves calculating the speed or rate at which Michael covered the distance. To solve this, we will use the concept of speed, which is defined as the distance traveled per unit time.

Calculating Speed

The formula to calculate speed is:

Speed = Distance / Time

In this case, the distance traveled by Michael is 80 miles, and the time taken is 120 minutes. We need to convert the time from minutes to hours to match the units of speed (miles per hour).

Converting Time from Minutes to Hours

1 hour = 60 minutes

Therefore, 120 minutes = 120 / 60 = 2 hours

Applying the Speed Formula

Now, we can apply the speed formula using the given values:

Speed = Distance / Time = 80 miles / 2 hours = 40 miles per hour

However, the options are given in miles per minute. To convert the speed from miles per hour to miles per minute, we can use the following conversion factor:

1 hour = 60 minutes

Therefore, 1 mile per hour = 1 / 60 miles per minute

Converting Speed from Miles per Hour to Miles per Minute

Speed (miles per minute) = Speed (miles per hour) / 60 = 40 miles per hour / 60 = 0.67 miles per minute

Conclusion

Based on the calculation, Michael's travel rate is 0.67 miles per minute.

Answer

The correct answer is:

B. 0.67 miles per minute

Additional Information

To verify the answer, we can also use the given options to calculate the total distance traveled by each option. If we multiply the rate by the time, we should get the total distance traveled.

For example, if we multiply the rate 0.67 miles per minute by the time 120 minutes, we get:

0.67 miles per minute x 120 minutes = 80 miles

This confirms that the correct answer is indeed 0.67 miles per minute.

Real-World Applications

Calculating speed is an essential skill in various real-world applications, such as:

Transportation: Calculating speed is crucial in transportation, including driving, flying, or sailing. It helps determine the time taken to cover a distance, which is essential for planning trips, scheduling flights, or navigating through unfamiliar territories.
Sports: In sports, calculating speed is vital for athletes, coaches, and trainers. It helps determine the performance of athletes, set goals, and develop training programs.
Emergency Services: In emergency services, such as firefighting or ambulance services, calculating speed is critical for responding to emergencies and reaching the scene quickly.

Conclusion

Q: What is the formula to calculate speed?

A: The formula to calculate speed is:

Speed = Distance / Time

Q: How do I convert time from minutes to hours?

A: To convert time from minutes to hours, you can divide the number of minutes by 60. For example, 120 minutes = 120 / 60 = 2 hours.

Q: How do I convert speed from miles per hour to miles per minute?

A: To convert speed from miles per hour to miles per minute, you can divide the speed in miles per hour by 60. For example, 40 miles per hour = 40 / 60 = 0.67 miles per minute.

Q: What is the correct answer for Michael's travel rate?

A: The correct answer is 0.67 miles per minute.

Q: How do I verify the answer by using the given options?

A: To verify the answer, you can multiply the rate by the time. For example, if you multiply the rate 0.67 miles per minute by the time 120 minutes, you get:

0.67 miles per minute x 120 minutes = 80 miles

This confirms that the correct answer is indeed 0.67 miles per minute.

Q: What are some real-world applications of calculating speed?

A: Calculating speed has numerous real-world applications, including:

Transportation: Calculating speed is crucial in transportation, including driving, flying, or sailing. It helps determine the time taken to cover a distance, which is essential for planning trips, scheduling flights, or navigating through unfamiliar territories.
Sports: In sports, calculating speed is vital for athletes, coaches, and trainers. It helps determine the performance of athletes, set goals, and develop training programs.
Emergency Services: In emergency services, such as firefighting or ambulance services, calculating speed is critical for responding to emergencies and reaching the scene quickly.

Q: What are some common mistakes to avoid when calculating speed?

A: Some common mistakes to avoid when calculating speed include:

Incorrect units: Make sure to use the correct units for distance and time, such as miles and hours or kilometers and minutes.
Rounding errors: Avoid rounding errors by using precise calculations and avoiding approximations.
Ignoring conversion factors: Don't forget to convert between units, such as converting speed from miles per hour to miles per minute.

Q: How can I practice calculating speed?

A: You can practice calculating speed by using online calculators, worksheets, or real-world examples. Try to calculate the speed of different objects, such as cars, bicycles, or airplanes, and verify your answers using the given options.

Conclusion

Calculating speed is a fundamental concept in mathematics, and it has numerous real-world applications. By understanding the concept of speed and how to calculate it, we can make informed decisions in various aspects of life. In this article, we provided a Q&A guide to help you understand the concept of speed and how to calculate it.