An aquifer receives [tex]$20 \, m^3$[/tex] of precipitation and loses [tex]$2 \, m^3$[/tex] of water through natural movement. If the water budget must be balanced, how much water can be pumped from the aquifer?

A. [tex][tex]$22 \, m^3$[/tex][/tex]
B. [tex]$36 \, m^3$[/tex]
C. [tex]$18 \, m^3$[/tex]
D. [tex][tex]$20 \, m^3$[/tex][/tex]



Answer :

To determine how much water can be pumped from the aquifer while keeping the water budget balanced, we will follow these steps:

1. Understand the Inputs: The aquifer gains water from precipitation and loses some water through natural movement.
- Precipitation received: [tex]\( 20 \, m^3 \)[/tex]
- Water lost due to natural movement: [tex]\( 2 \, m^3 \)[/tex]

2. Calculate the Amount of Water Left in the Aquifer:
- The initial water input is the precipitation received, which is [tex]\( 20 \, m^3 \)[/tex].
- Subtract the water lost due to natural movement from the precipitation. This gives us the available water that can be pumped.

3. Perform the Subtraction:
- Available Water = Precipitation - Natural Movement Loss
- Available Water = [tex]\( 20 \, m^3 \)[/tex] - [tex]\( 2 \, m^3 \)[/tex]
- Available Water = [tex]\( 18 \, m^3 \)[/tex]

4. Conclusion:
- The amount of water that can be pumped from the aquifer, ensuring the water budget is balanced, is [tex]\( 18 \, m^3 \)[/tex].

Thus, the correct answer is:
[tex]\[ 18 \, m^3 \][/tex]