A Car Travels 60 Km In 36 Minutes. At The Same Average Speed, How Far Will It Travel In 1 Hour And 12 Minutes?

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Understanding the Problem

To solve this problem, we need to understand the concept of average speed and how it relates to distance and time. The average speed of a car is calculated by dividing the distance traveled by the time taken. In this case, we are given that a car travels 60 km in 36 minutes, and we need to find out how far it will travel in 1 hour and 12 minutes at the same average speed.

Calculating Average Speed

First, let's calculate the average speed of the car. We know that the car travels 60 km in 36 minutes. To find the average speed, we need to convert the time from minutes to hours. There are 60 minutes in an hour, so 36 minutes is equal to 36/60 = 0.6 hours.

Average Speed = Distance / Time
= 60 km / 0.6 hours
= 100 km/h

Converting Time to Hours

Now that we have the average speed, we need to convert the time from 1 hour and 12 minutes to just hours. There are 60 minutes in an hour, so 12 minutes is equal to 12/60 = 0.2 hours. Therefore, 1 hour and 12 minutes is equal to 1 + 0.2 = 1.2 hours.

Calculating Distance

Now that we have the average speed and the time, we can calculate the distance traveled in 1 hour and 12 minutes. We use the formula:

Distance = Average Speed x Time
= 100 km/h x 1.2 hours
= 120 km

Conclusion

In conclusion, if a car travels 60 km in 36 minutes at an average speed of 100 km/h, it will travel 120 km in 1 hour and 12 minutes at the same average speed.

Real-World Applications

This problem has real-world applications in various fields such as transportation, logistics, and engineering. For example, in transportation planning, understanding the average speed of vehicles is crucial in determining the time and distance required for a trip. In logistics, knowing the average speed of vehicles helps in planning routes and schedules for delivery trucks. In engineering, understanding the average speed of vehicles is essential in designing roads and highways.

Tips and Tricks

Here are some tips and tricks to help you solve problems like this:

  • Always convert time from minutes to hours before calculating average speed.
  • Use the formula: Average Speed = Distance / Time to calculate average speed.
  • Use the formula: Distance = Average Speed x Time to calculate distance.
  • Make sure to convert time to hours before calculating distance.

Practice Problems

Here are some practice problems to help you practice solving problems like this:

  • A car travels 80 km in 45 minutes. At the same average speed, how far will it travel in 1 hour and 15 minutes?
  • A bike travels 20 km in 30 minutes. At the same average speed, how far will it travel in 1 hour and 20 minutes?
  • A train travels 120 km in 60 minutes. At the same average speed, how far will it travel in 1 hour and 30 minutes?

Solutions to Practice Problems

Here are the solutions to the practice problems:

  • A car travels 80 km in 45 minutes. At the same average speed, how far will it travel in 1 hour and 15 minutes?
Average Speed = Distance / Time
= 80 km / 0.75 hours
= 106.67 km/h
Distance = Average Speed x Time
= 106.67 km/h x 1.25 hours
= 133.33 km
  • A bike travels 20 km in 30 minutes. At the same average speed, how far will it travel in 1 hour and 20 minutes?
Average Speed = Distance / Time
= 20 km / 0.5 hours
= 40 km/h
Distance = Average Speed x Time
= 40 km/h x 1.33 hours
= 53.33 km
  • A train travels 120 km in 60 minutes. At the same average speed, how far will it travel in 1 hour and 30 minutes?
Average Speed = Distance / Time
= 120 km / 1 hour
= 120 km/h
Distance = Average Speed x Time
= 120 km/h x 1.5 hours
= 180 km

Conclusion

In conclusion, understanding the concept of average speed and how it relates to distance and time is crucial in solving problems like this. By using the formulas: Average Speed = Distance / Time and Distance = Average Speed x Time, we can calculate the distance traveled in a given time at a given average speed. This problem has real-world applications in various fields such as transportation, logistics, and engineering.

Frequently Asked Questions

Q: What is average speed, and how is it calculated?

A: Average speed is the rate at which an object travels, and it is calculated by dividing the distance traveled by the time taken. In this case, we calculate the average speed by dividing the distance (60 km) by the time (36 minutes).

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

A: To convert time from minutes to hours, you divide the number of minutes by 60. For example, 36 minutes is equal to 36/60 = 0.6 hours.

Q: What is the formula for calculating average speed?

A: The formula for calculating average speed is: Average Speed = Distance / Time.

Q: What is the formula for calculating distance?

A: The formula for calculating distance is: Distance = Average Speed x Time.

Q: How do I calculate the distance traveled in 1 hour and 12 minutes at an average speed of 100 km/h?

A: To calculate the distance traveled in 1 hour and 12 minutes at an average speed of 100 km/h, we use the formula: Distance = Average Speed x Time. We convert the time from 1 hour and 12 minutes to just hours, which is 1.2 hours. Then, we multiply the average speed (100 km/h) by the time (1.2 hours) to get the distance (120 km).

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

A: Understanding average speed has real-world applications in various fields such as transportation, logistics, and engineering. For example, in transportation planning, understanding the average speed of vehicles is crucial in determining the time and distance required for a trip. In logistics, knowing the average speed of vehicles helps in planning routes and schedules for delivery trucks. In engineering, understanding the average speed of vehicles is essential in designing roads and highways.

Q: What are some tips and tricks for solving problems like this?

A: Here are some tips and tricks to help you solve problems like this:

  • Always convert time from minutes to hours before calculating average speed.
  • Use the formula: Average Speed = Distance / Time to calculate average speed.
  • Use the formula: Distance = Average Speed x Time to calculate distance.
  • Make sure to convert time to hours before calculating distance.

Q: What are some practice problems to help me practice solving problems like this?

A: Here are some practice problems to help you practice solving problems like this:

  • A car travels 80 km in 45 minutes. At the same average speed, how far will it travel in 1 hour and 15 minutes?
  • A bike travels 20 km in 30 minutes. At the same average speed, how far will it travel in 1 hour and 20 minutes?
  • A train travels 120 km in 60 minutes. At the same average speed, how far will it travel in 1 hour and 30 minutes?

Q: What are the solutions to the practice problems?

A: Here are the solutions to the practice problems:

  • A car travels 80 km in 45 minutes. At the same average speed, how far will it travel in 1 hour and 15 minutes?
Average Speed = Distance / Time
= 80 km / 0.75 hours
= 106.67 km/h
Distance = Average Speed x Time
= 106.67 km/h x 1.25 hours
= 133.33 km
  • A bike travels 20 km in 30 minutes. At the same average speed, how far will it travel in 1 hour and 20 minutes?
Average Speed = Distance / Time
= 20 km / 0.5 hours
= 40 km/h
Distance = Average Speed x Time
= 40 km/h x 1.33 hours
= 53.33 km
  • A train travels 120 km in 60 minutes. At the same average speed, how far will it travel in 1 hour and 30 minutes?
Average Speed = Distance / Time
= 120 km / 1 hour
= 120 km/h
Distance = Average Speed x Time
= 120 km/h x 1.5 hours
= 180 km

Conclusion

In conclusion, understanding the concept of average speed and how it relates to distance and time is crucial in solving problems like this. By using the formulas: Average Speed = Distance / Time and Distance = Average Speed x Time, we can calculate the distance traveled in a given time at a given average speed. This problem has real-world applications in various fields such as transportation, logistics, and engineering.