Lamar is on his way home in his car. He has driven 18 miles so far, which is one-third of the way home. What is the total length of his drive?


To determine the total length of Lamar's drive, we can set up an equation based on the information provided.

Lamar has driven 18 miles, which represents one-third of the total distance home. Let \( x \) represent the total length of his drive. The relationship between the distance he has driven and the total distance can be expressed as:

\[
\frac{1}{3}x = 18
\]

To solve for \( x \), we need to isolate \( x \) on one side of the equation. We can do this by multiplying both sides by the reciprocal of \(\frac{1}{3}\), which is 3:

\[
x = 18 \times 3
\]

Now, calculate the multiplication:

\[
x = 54
\]

Therefore, the total length of Lamar's drive is **54 miles**.

Would you like further details or have any questions?

Here are 5 related questions that expand on this topic:
1. If Lamar drives another 18 miles, what fraction of his journey will he have completed?
2. How many miles does Lamar have left to drive to reach home?
3. If Lamar drives at an average speed of 30 miles per hour, how long will it take him to complete his journey?
4. If the total distance was increased by 10%, what would be the new total distance?
5. If Lamar has driven two-thirds of the way home, how many miles has he driven?

**Tip:** When working with fractions in real-world problems, remember to identify the whole quantity that the fraction represents to solve for the unknown.

Discover how to calculate the total length of Lamar's drive based on the information provided. Lamar has driven 18 miles, which is one-third of his journey home. Learn the equation setup and solution step-by-step, suitable for Grades 4-6.

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