Question
\[ p=15.3 \] Amsterville Road is under construction. Workers have paved 4 miles of the road, which is 12 miles less than the total length of the road. How many miles long, \( m \), is the road?
Ask by Valdez Wheeler. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The total length of Amsterville Road is 16 miles.
Solution
To determine the total length of Amsterville Road, let's break down the information provided:
1. **Paved Miles:** Workers have paved **4 miles** of the road.
2. **Difference from Total Length:** These **4 miles** are **12 miles less** than the total length of the road.
Let's denote the total length of the road as \( m \).
According to the problem:
\[
\text{Paved Miles} = \text{Total Length} - 12
\]
Plugging in the known value:
\[
4 = m - 12
\]
To find \( m \), add **12** to both sides of the equation:
\[
4 + 12 = m
\]
\[
m = 16
\]
**Therefore, the total length of Amsterville Road is 16 miles.**
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To find the total length of Amsterville Road, let's use the information given. The workers have paved 4 miles, which is stated to be 12 miles less than the total length. First, we can set up the equation based on this information: \[ \text{Total length of the road} - 12 = \text{Length paved} \] Using symbols, let \( m \) represent the total length of the road: \[ m - 12 = 4 \] Now, we can solve for \( m \): \[ m = 4 + 12 \] \[ m = 16 \] So, the total length of Amsterville Road is 16 miles.
