To solve this problem, we need to determine the fill rate of the pipe and then use this rate to calculate the amount of water filled in 3 hours. Here’s a step-by-step solution:
1. Determine the fill rate of the pipe:
- The total capacity of the tank is 7500 liters.
- The pipe takes 4 hours to fill the tank completely.
To find the fill rate (liters per hour), we can divide the tank capacity by the time it takes to fill it:
[tex]\[
\text{Fill rate} = \frac{\text{Tank capacity}}{\text{Fill time full}} = \frac{7500\text{ liters}}{4\text{ hours}}
\][/tex]
[tex]\[
\text{Fill rate} = 1875\text{ liters per hour}
\][/tex]
2. Calculate the amount of water filled in 3 hours:
- We already know the fill rate is 1875 liters per hour.
- We need to see how much water the pipe fills in 3 hours.
To get this, we multiply the fill rate by the desired time interval:
[tex]\[
\text{Water filled} = \text{Fill rate} \times \text{Fill time partial} = 1875\text{ liters per hour} \times 3\text{ hours}
\][/tex]
[tex]\[
\text{Water filled} = 5625\text{ liters}
\][/tex]
Therefore, in 3 hours, the pipe can fill 5625 liters of water into the tank.
