Finding the Distance Aliyah Ran

Oct 13, 2025 by windailys.com 10 views

Introduction

In this article, we will delve into a mathematical problem involving a team relay race. Aliyah and Kehinde are participating in a relay race, where they run a total distance of 42 miles. The problem states that Aliyah runs twice as far as Kehinde. Our goal is to determine the distance each person ran.

Understanding the Problem

Let's break down the problem and understand what is given and what needs to be found. We are given the following information:

Aliyah and Kehinde run a total distance of 42 miles.
Aliyah runs twice as far as Kehinde.

We need to find the distance each person ran. Let's denote the distance Kehinde ran as x miles. Since Aliyah runs twice as far as Kehinde, the distance Aliyah ran is 2x miles.

Setting Up the Equation

We know that the total distance run by both Aliyah and Kehinde is 42 miles. We can set up an equation to represent this:

x + 2x = 42

In this equation, x represents the distance Kehinde ran, and 2x represents the distance Aliyah ran.

Solving the Equation

To solve the equation, we can combine like terms:

3x = 42

Next, we can divide both sides of the equation by 3 to isolate x:

x = 42 / 3 x = 14

So, Kehinde ran 14 miles.

Finding the Distance Aliyah Ran

Since Aliyah runs twice as far as Kehinde, we can find the distance Aliyah ran by multiplying the distance Kehinde ran by 2:

Distance Aliyah ran = 2x = 2(14) = 28

Therefore, Aliyah ran 28 miles.

Conclusion

In this article, we solved a mathematical problem involving a team relay race. We used algebraic equations to find the distance each person ran. By setting up and solving an equation, we were able to determine that Kehinde ran 14 miles and Aliyah ran 28 miles.

Key Takeaways

When solving a problem involving a team relay race, we can use algebraic equations to find the distance each person ran.
By setting up and solving an equation, we can determine the distance each person ran.
In this problem, we found that Kehinde ran 14 miles and Aliyah ran 28 miles.

Mathematical Concepts

Algebraic equations
Solving linear equations
Combining like terms
Dividing both sides of an equation by a constant

Real-World Applications

Team relay races
Running events
Distance calculations

Practice Problems

Two friends, Alex and Ben, are running a relay race. Alex runs 3 times as far as Ben. Together, they run 30 miles. How far did each person run?
A group of friends are running a relay race. Sarah runs 2 times as far as John. Together, they run 40 miles. How far did each person run?
Aliyah and Kehinde's Relay Race: A Q&A Guide =====================================================

Introduction

In our previous article, we solved a mathematical problem involving a team relay race. Aliyah and Kehinde ran a total distance of 42 miles, with Aliyah running twice as far as Kehinde. We found that Kehinde ran 14 miles and Aliyah ran 28 miles. In this article, we will answer some frequently asked questions related to this problem.

Q&A

Q: What is the total distance run by Aliyah and Kehinde?

A: The total distance run by Aliyah and Kehinde is 42 miles.

Q: How far did Kehinde run?

A: Kehinde ran 14 miles.

Q: How far did Aliyah run?

A: Aliyah ran 28 miles.

Q: Why did we use algebraic equations to solve this problem?

A: We used algebraic equations to solve this problem because it involved a relationship between two variables (the distance Kehinde ran and the distance Aliyah ran). Algebraic equations are a powerful tool for solving problems that involve relationships between variables.

Q: What is the relationship between the distance Kehinde ran and the distance Aliyah ran?

A: The distance Aliyah ran is twice the distance Kehinde ran. This is represented by the equation 2x = distance Aliyah ran, where x is the distance Kehinde ran.

Q: How did we find the value of x?

A: We found the value of x by setting up an equation and solving for x. We started with the equation x + 2x = 42, which represents the total distance run by both Aliyah and Kehinde. We then combined like terms to get 3x = 42, and finally divided both sides of the equation by 3 to get x = 14.

Q: What are some real-world applications of this problem?

A: This problem has many real-world applications, including team relay races, running events, and distance calculations. It also demonstrates the importance of algebraic equations in solving problems that involve relationships between variables.

Q: Can you provide more practice problems like this one?

A: Yes, here are a few more practice problems:

Two friends, Alex and Ben, are running a relay race. Alex runs 3 times as far as Ben. Together, they run 30 miles. How far did each person run?
A group of friends are running a relay race. Sarah runs 2 times as far as John. Together, they run 40 miles. How far did each person run?
A team of runners is participating in a relay race. The first runner runs 5 miles, the second runner runs 3 times as far as the first runner, and the third runner runs 2 times as far as the second runner. If the total distance run by the team is 25 miles, how far did each runner run?