Calculating the Milepost Number of the Rest Area

Oct 13, 2025 by miodeya.com 74 views

Introduction

In this article, we will delve into a mathematical problem involving a straight highway and milepost numbers. The problem is as follows: a straight highway is 100 miles long, with each mile marked by a milepost numbered from 0 to 100. A rest area is to be built along the highway exactly 6 miles away from milepost 57. If $$m$$ is the milepost number of the rest area, we need to determine the value of $$m$$. This problem requires us to apply basic mathematical concepts, such as addition and subtraction, to solve for the unknown value of $$m$$.

Understanding the Problem

To begin solving this problem, we need to understand the given information. The highway is 100 miles long, and each mile is marked by a milepost number ranging from 0 to 100. This means that the first milepost is at 0, and the last milepost is at 100. The rest area is to be built exactly 6 miles away from milepost 57. This implies that the rest area will be located at a distance of 6 miles from milepost 57, either to the left or to the right.

Calculating the Milepost Number of the Rest Area

To calculate the milepost number of the rest area, we need to add 6 to the milepost number of the point from which the rest area is 6 miles away. Since the rest area is 6 miles away from milepost 57, we can add 6 to 57 to get the milepost number of the rest area. This can be represented mathematically as:

m = 57 + 6

Solving for $$m$$

Now, we need to solve for $$m$$ by evaluating the expression $$57 + 6$$. This is a simple addition problem, and the result is:

m = 63

Therefore, the milepost number of the rest area is 63.

Conclusion

In this article, we discussed a mathematical problem involving a straight highway and milepost numbers. We applied basic mathematical concepts, such as addition and subtraction, to solve for the unknown value of $$m$$. The result is that the milepost number of the rest area is 63. This problem demonstrates the importance of understanding mathematical concepts and applying them to real-world problems.

Additional Discussion

Understanding the Concept of Milepost Numbers

Milepost numbers are a way to measure distance along a highway. Each milepost number represents a specific point on the highway, and the numbers are usually marked on signs or markers along the road. In this problem, we used milepost numbers to determine the location of the rest area. This demonstrates the importance of understanding the concept of milepost numbers and how they can be used to solve problems.

Applying Mathematical Concepts to Real-World Problems

This problem demonstrates the importance of applying mathematical concepts to real-world problems. By using basic mathematical concepts, such as addition and subtraction, we were able to solve for the unknown value of $$m$$. This problem shows that mathematical concepts can be used to solve a wide range of problems, from simple to complex.

The Importance of Precision in Mathematical Calculations

In this problem, we needed to be precise in our mathematical calculations to get the correct answer. A small error in our calculations could have resulted in an incorrect answer. This demonstrates the importance of precision in mathematical calculations and the need to double-check our work to ensure accuracy.

Final Thoughts

In conclusion, this problem demonstrates the importance of understanding mathematical concepts and applying them to real-world problems. By using basic mathematical concepts, such as addition and subtraction, we were able to solve for the unknown value of $$m$$. This problem shows that mathematical concepts can be used to solve a wide range of problems, from simple to complex.