Question

Travel Emilio drives on Route 40 from Little Rock to Nashville. He stops in Memphis for lunch. The distance from Little Rock to Memphis is 139 miles, and the distance from Little Rock to Nashville is 359 miles. How far does Emilio need to travel after lunch to reach Nashville?

Short answer

Emilio needs to travel 220 miles after lunch to reach Nashville.

Step-by-step solution

Identify the Total Distance

First, understand that the total distance from Little Rock to Nashville is 359 miles. This means that Emilio travels this distance in total.

Determine the Distance Already Traveled

Emilio has already traveled from Little Rock to Memphis, which is a distance of 139 miles. He stops here for lunch.

Calculate the Remaining Distance

Subtract the distance already traveled (Little Rock to Memphis) from the total distance (Little Rock to Nashville) to find out how much further Emilio needs to drive. Thus, calculate: \( 359 - 139 \).

Complete the Calculation

Perform the subtraction: \( 359 - 139 = 220 \).

Conclude the Travel Distance

The distance Emilio needs to travel after lunch to reach Nashville is 220 miles.

Key concepts

Understanding Subtraction in the Context of Distance

Subtraction is a mathematical operation where one quantity is taken away from another. In the context of distance, subtraction helps us find how far someone still has to travel when part of a journey has already been completed.
In the initial exercise, subtraction is used to determine the remaining distance Emilio must travel after stopping in Memphis. By subtracting the distance already traveled (from Little Rock to Memphis) from the total distance to his destination (Little Rock to Nashville), Emilio can easily know the miles left to cover. This is a practical demonstration of subtraction!

Understanding how to use subtraction in real-world problems can help solve everyday challenges like tracking travel distance, remaining time, or even budgeting. For our travel exercise, the subtraction was expressed as:

• Total travel distance = 359 miles
• Distance already traveled = 139 miles
• Remaining distance = 359 - 139 = 220 miles

This operation gave us the result of 220 miles, indicating how much further Emilio needed to travel.

Calculating the Distance Traveled

The concept of distance traveled addresses the length of the journey covered so far. When Emilio drives from Little Rock to Memphis, he covers a certain part of his total trip to Nashville. This first part of the journey amounts to 139 miles.

Understanding distance traveled involves keeping track of how far you have gone versus how far you need to go. It acts like a progress tracker and lets travelers like Emilio plan their rest stops or check if they are on schedule.

The calculation of distance traveled helps us in various applications, such as estimating fuel usage and costs, choosing optimal routes, and setting realistic timelines. By knowing he was 139 miles into his journey, Emilio could logically calculate the remaining distance to complete after his break.

Breaking Down the Step-by-Step Solution

A step-by-step solution is a methodical approach that helps break down a complex problem into understandable parts. In Emilio's exercise, we see exactly this kind of approach being used.

Here's how the step-by-step solution unfolded in the problem at hand:

• Step 1: Identify the Total Distance – Recognize the end-to-end journey is 359 miles.
• Step 2: Determine the Distance Already Traveled – Emilio has covered 139 miles to Memphis.
• Step 3: Calculate the Remaining Distance – Subtraction came into play, subtracting 139 from 359.
• Step 4: Complete the Calculation – Perform the subtraction to get 220 miles.
• Step 5: Conclude the Travel Distance – Confirm that 220 miles remain to reach Nashville.

By following these guided steps, anyone can solve similar problems with ease. The step-by-step solution teaches logical progression and sequential processing, making seemingly daunting tasks manageable.