The Guilmartin Family Is Driving From City A To City B. In 3 Days, They Have Traveled 1,230 Miles. At This Rate, How Long Will It Take Them To Travel From City A To City B?Use The Unit Rate To Find An Equivalent Rate That Compares The Total Distance

Introduction

The Guilmartin family is embarking on a road trip from City A to City B, covering a significant distance of 1,230 miles in just 3 days. As they continue their journey, they are curious to know how long it will take them to complete the entire trip. In this article, we will help the Guilmartin family calculate the total travel time by using the concept of unit rates and equivalent rates.

Understanding Unit Rates

A unit rate is a ratio that compares a quantity to a unit of measurement, usually expressed as a fraction or a decimal. In this case, the unit rate will help us determine the number of miles the Guilmartin family travels per day. To find the unit rate, we divide the total distance traveled (1,230 miles) by the number of days (3).

Calculating the Unit Rate

Unit Rate = Total Distance ÷ Number of Days
Unit Rate = 1,230 miles ÷ 3 days
Unit Rate = 410 miles per day

Understanding Equivalent Rates

An equivalent rate is a ratio that compares two different quantities, usually expressed as a fraction or a decimal. In this case, the equivalent rate will help us determine the total travel time for the entire trip. To find the equivalent rate, we will use the unit rate (410 miles per day) and the total distance (unknown).

Calculating the Equivalent Rate

Let's assume the total distance from City A to City B is x miles. We can set up an equation using the unit rate and the equivalent rate:

Equivalent Rate = Unit Rate × Total Distance
Equivalent Rate = 410 miles per day × x miles

Solving for x

Since we want to find the total travel time, we need to solve for x. We can do this by dividing both sides of the equation by the unit rate (410 miles per day):

x = Equivalent Rate ÷ Unit Rate
x = (410 miles per day × Total Distance) ÷ 410 miles per day
x = Total Distance

Finding the Total Travel Time

Now that we have the equivalent rate, we can find the total travel time by dividing the total distance (x miles) by the unit rate (410 miles per day):

Total Travel Time = Total Distance ÷ Unit Rate
Total Travel Time = x miles ÷ 410 miles per day

Conclusion

To find the total travel time for the Guilmartin family's road trip, we used the concept of unit rates and equivalent rates. By dividing the total distance traveled (1,230 miles) by the number of days (3), we found the unit rate (410 miles per day). Then, we used the unit rate to find the equivalent rate, which helped us determine the total travel time for the entire trip. The total travel time is equal to the total distance divided by the unit rate.

Calculating the Total Travel Time

Let's assume the total distance from City A to City B is 2,500 miles. We can use the unit rate (410 miles per day) to find the total travel time:

Total Travel Time = Total Distance ÷ Unit Rate
Total Travel Time = 2,500 miles ÷ 410 miles per day
Total Travel Time = 6.1 days

Therefore, the Guilmartin family will take approximately 6.1 days to complete their road trip from City A to City B.

Real-World Applications

The concept of unit rates and equivalent rates has numerous real-world applications, including:

• Finance: Unit rates are used to calculate interest rates, investment returns, and credit card APRs.
• Science: Equivalent rates are used to calculate the rate of chemical reactions, the speed of sound, and the rate of radioactive decay.
• Business: Unit rates are used to calculate the cost of goods sold, the price of a product, and the rate of return on investment.

Conclusion

Introduction

In our previous article, we helped the Guilmartin family calculate the total travel time for their road trip from City A to City B. We used the concept of unit rates and equivalent rates to determine the number of days it would take them to complete the entire trip. In this article, we will answer some frequently asked questions related to the Guilmartin family's road trip.

Q: What is a unit rate?

A unit rate is a ratio that compares a quantity to a unit of measurement, usually expressed as a fraction or a decimal. In the context of the Guilmartin family's road trip, the unit rate is the number of miles they travel per day.

Q: How do I calculate the unit rate?

To calculate the unit rate, you need to divide the total distance traveled by the number of days. For example, if the Guilmartin family traveled 1,230 miles in 3 days, the unit rate would be:

Unit Rate = Total Distance ÷ Number of Days Unit Rate = 1,230 miles ÷ 3 days Unit Rate = 410 miles per day

Q: What is an equivalent rate?

An equivalent rate is a ratio that compares two different quantities, usually expressed as a fraction or a decimal. In the context of the Guilmartin family's road trip, the equivalent rate is the ratio of the total distance to the number of days.

Q: How do I calculate the equivalent rate?

To calculate the equivalent rate, you need to multiply the unit rate by the total distance. For example, if the Guilmartin family traveled 1,230 miles in 3 days, and the unit rate is 410 miles per day, the equivalent rate would be:

Equivalent Rate = Unit Rate × Total Distance Equivalent Rate = 410 miles per day × 1,230 miles Equivalent Rate = 5,053 miles per 3 days

Q: How do I find the total travel time?

To find the total travel time, you need to divide the total distance by the unit rate. For example, if the Guilmartin family traveled 2,500 miles, and the unit rate is 410 miles per day, the total travel time would be:

Total Travel Time = Total Distance ÷ Unit Rate Total Travel Time = 2,500 miles ÷ 410 miles per day Total Travel Time = 6.1 days

Q: What are some real-world applications of unit rates and equivalent rates?

Unit rates and equivalent rates have numerous real-world applications, including:

• Finance: Unit rates are used to calculate interest rates, investment returns, and credit card APRs.
• Science: Equivalent rates are used to calculate the rate of chemical reactions, the speed of sound, and the rate of radioactive decay.
• Business: Unit rates are used to calculate the cost of goods sold, the price of a product, and the rate of return on investment.

Q: How can I use unit rates and equivalent rates in my daily life?

You can use unit rates and equivalent rates in your daily life by:

• Calculating the cost of goods sold: Use unit rates to calculate the cost of goods sold, and equivalent rates to compare the cost of different products.
• Determining the rate of return on investment: Use unit rates to calculate the rate of return on investment, and equivalent rates to compare the return on different investments.
• Calculating the speed of sound: Use equivalent rates to calculate the speed of sound, and unit rates to compare the speed of sound in different materials.

Conclusion

In conclusion, the Guilmartin family's road trip from City A to City B is a great example of how unit rates and equivalent rates can be used to solve real-world problems. By understanding the concept of unit rates and equivalent rates, we can make informed decisions and solve complex problems in various fields.