Question

Amelia walks at a speed of 4 miles per hour. She has already walked 11 miles. After how many additional hours will she have walked more than 30 miles?
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3
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7
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6
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5

Answer 1

To find out how many additional hours Amelia needs to walk more than 30 miles, we can set up the equation based on the information provided:

1. **Current Distance**: Amelia has already walked 11 miles.
2. **Goal Distance**: She wants to walk more than 30 miles.
3. **Walking Speed**: Amelia walks at a speed of 4 miles per hour.

Let \( x \) be the additional hours she needs to walk. During these \( x \) hours, she will walk \( 4x \) miles.

The total distance she will have walked after \( x \) additional hours is:
\[
11 + 4x
\]
We want this total to be greater than 30 miles:
\[
11 + 4x > 30
\]

Now, solve for \( x \):
1. Subtract 11 from both sides:
\[
4x > 30 - 11
\]
\[
4x > 19
\]

2. Divide both sides by 4:
\[
x > \frac{19}{4}
\]
\[
x > 4.75
\]

Since \( x > 4.75 \), we can conclude that Amelia will need at least 5 additional hours to exceed 30 miles.

Thus, the answer is **5 hours**.