Answer :
To calculate the time it takes for the tank to get filled, we need to find the net flow rate into the tank.
Given:
- The liquid raw material flows into the tank at a rate of 50 gallons per minute.
- The tank is discharging to three separate pipelines at the rate of 60 liters per minute each.
First, let's convert the liters per minute to gallons per minute:
1 liter = 0.264172 gallons
So, 60 liters per minute is equivalent to (60 * 0.264172) = 15.85 gallons per minute.
Since there are three separate pipelines, the total discharge rate from the tank is (3 * 15.85) = 47.55 gallons per minute.
Now, let's find the net flow rate into the tank:
Net flow rate = Flow rate in - Flow rate out
Net flow rate = 50 - 47.55
Net flow rate = 2.45 gallons per minute
To find the time it takes for the tank to get filled, we divide the volume of the tank by the net flow rate:
Time = Volume / Net flow rate
Time = 250 / 2.45
Time ≈ 102.04 minutes
To convert minutes to hours, we divide by 60:
Time in hours ≈ 102.04 / 60
Time in hours ≈ 1.70 hours
Therefore, the tank will get filled in approximately 1.70 hours.
The correct response is 1.70 hours.
To know more about gallons :
https://brainly.com/question/26007201
#SPJ11
