A ramp rises 6 inches for each 24 inches of horizontal run . Thus ramp rises many inches for 62 inches of horizontal run ?

Options

A. `15 (1)/(2)`
B. `20 (2)/(3)`
C. `44`
D. `80`

Answer

To solve the problem, we need to determine how many inches the ramp rises for a horizontal run of 62 inches, given that it rises 6 inches for every 24 inches of horizontal run.

### Step-by-Step Solution:

1. **Understand the Ratio of Rise to Run**:
The ramp rises 6 inches for every 24 inches of horizontal run. This gives us a rise-to-run ratio:
\[ \text{Rise} = 6 \text{ inches}, \quad \text{Run} = 24 \text{ inches} \]

2. **Calculate the Rise per Inch of Run**:
To find out how much the ramp rises for 1 inch of horizontal run, we divide the rise by the run:
\[ \text{Rise per inch} = \frac{6 \text{ inches}}{24 \text{ inches}} = \frac{1}{4} \text{ inches per inch of run} \]

3. **Calculate the Total Rise for 62 Inches of Run**:
Now, we need to find out how much the ramp rises for a horizontal run of 62 inches. We can use the rise per inch we just calculated:
\[ \text{Total Rise} = \text{Rise per inch} \times \text{Horizontal Run} = \frac{1}{4} \text{ inches} \times 62 \text{ inches} \]

4. **Perform the Multiplication**:
\[ \text{Total Rise} = \frac{62}{4} = 15.5 \text{ inches} \]

5. **Convert to Mixed Number (if necessary)**:
The rise of 15.5 inches can also be expressed as:
\[ 15.5 \text{ inches} = 15 \frac{1}{2} \text{ inches} \]

### Final Answer:
The ramp rises **15.5 inches** or **15 and a half inches** for a horizontal run of 62 inches.

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