Question
An aquifer receives 40 m3 of precipitation and loses 10 m3 of water through natural movement.
How much water can be pumped from the aquifer to balance the budget?
10 m3
20 m3
30 m3
40 m3
How much water can be pumped from the aquifer to balance the budget?
10 m3
20 m3
30 m3
40 m3
Answers
GPT-4o mini
To determine how much water can be pumped from the aquifer to balance the water budget, we need to consider the inflow and outflow of water.
- Inflow: 40 m³ (precipitation)
- Outflow: 10 m³ (natural movement)
We can calculate the net change in water:
\[
\text{Net change} = \text{Inflow} - \text{Outflow} = 40 \, m³ - 10 \, m³ = 30 \, m³
\]
To balance the budget, we need to ensure that the total outflow (including pumping water) equals the inflow. If we denote the amount of water pumped as \( P \), the equation becomes:
\[
\text{Outflow} + P = \text{Inflow}
\]
Substituting the values:
\[
10 \, m³ + P = 40 \, m³
\]
Now, we can solve for \( P \):
\[
P = 40 \, m³ - 10 \, m³ = 30 \, m³
\]
Therefore, to balance the budget, **30 m³** of water can be pumped from the aquifer.
- Inflow: 40 m³ (precipitation)
- Outflow: 10 m³ (natural movement)
We can calculate the net change in water:
\[
\text{Net change} = \text{Inflow} - \text{Outflow} = 40 \, m³ - 10 \, m³ = 30 \, m³
\]
To balance the budget, we need to ensure that the total outflow (including pumping water) equals the inflow. If we denote the amount of water pumped as \( P \), the equation becomes:
\[
\text{Outflow} + P = \text{Inflow}
\]
Substituting the values:
\[
10 \, m³ + P = 40 \, m³
\]
Now, we can solve for \( P \):
\[
P = 40 \, m³ - 10 \, m³ = 30 \, m³
\]
Therefore, to balance the budget, **30 m³** of water can be pumped from the aquifer.