Final answer:
The total length of Rachel's drive home can be calculated using a simple linear equation. Setting 30 miles as one-third of the total distance allows us to solve for the total distance, which is 90 miles.
Step-by-step explanation:
We solve this fraction word problem by setting up a linear equation. If 30 miles is one-third of the way home, then we can represent the total length of the drive using a fraction. Let x represent the total length of the drive in miles. We set up the equation 30 = 1/3 * x, because the problem tells us that 30 miles is one-third of the total distance. Now, to solve for x, we can multiply both sides of the equation by 3 to find that x = 90. Therefore, the total length of Rachel's drive home is 90 miles.
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