The invert of a sewer drops 1.2 feet over a horizontal distance of 250 feet. What is the slope?

The invert of a sewer drops 1.2 feet over a horizontal distance of 250 feet. What is the slope?

• A. 0.0048%
• B. 0.040%
• C. 0.40%
• D. 0.48%

Answer: (D)

To find the slope of the sewer invert, you need to use the formula for slope, which is defined as the rise (change in vertical distance) over the run (horizontal distance). In this case, the drop in the sewer invert is 1.2 feet, and the horizontal distance is 250 feet. The slope can be calculated using the following formula: \[ \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{1.2 \text{ ft}}{250 \text{ ft}} \] Carrying out this calculation gives: \[ \text{slope} = \frac{1.2}{250} = 0.0048 \] This result can also be expressed in percentage terms by multiplying by 100: \[ \text{slope} \times 100 = 0.0048 \times 100 = 0.48\% \] Thus, the slope of the sewer invert is 0.48%. This value is significant in highway construction and sewer design since it determines how effectively gravity will carry wastewater through the system. Maintaining an appropriate slope is crucial to avoid issues such as blockages or slow drainage. Therefore, the correct

To find the slope of the sewer invert, you need to use the formula for slope, which is defined as the rise (change in vertical distance) over the run (horizontal distance). In this case, the drop in the sewer invert is 1.2 feet, and the horizontal distance is 250 feet.

The slope can be calculated using the following formula:

[

\text{slope} = \frac{\text{rise}}{\text{run}} = \frac{1.2 \text{ ft}}{250 \text{ ft}}

]

Carrying out this calculation gives:

[

\text{slope} = \frac{1.2}{250} = 0.0048

]

This result can also be expressed in percentage terms by multiplying by 100:

[

\text{slope} \times 100 = 0.0048 \times 100 = 0.48%

]

Thus, the slope of the sewer invert is 0.48%. This value is significant in highway construction and sewer design since it determines how effectively gravity will carry wastewater through the system. Maintaining an appropriate slope is crucial to avoid issues such as blockages or slow drainage. Therefore, the correct