Alright, let's break down the problem step-by-step to understand how long it will take to fill the tank.
1. Determine the total capacity of the tank:
The tank can hold a total of 600 units of water.
2. Understand the current fill level:
The tank is currently 3/4 full. We need to determine the amount of water that is presently in the tank.
- Current Fill Level = (3/4) * 600 units
- Calculating that, we find that the current fill level is 450 units of water.
3. Calculate the remaining capacity that needs to be filled:
- Total capacity of the tank = 600 units
- Current fill = 450 units
- Remaining capacity = 600 units - 450 units = 150 units
4. Rate at which the pump supplies water:
The pump can supply water at a rate of 5 units per minute.
5. Determine the time needed to fill the remaining capacity:
- Remaining capacity to be filled = 150 units
- Pump rate = 5 units per minute
- Time needed = Remaining capacity / Pump rate
- Therefore, Time needed = 150 units / 5 units per minute = 30 minutes
So, it will take 30 minutes to fill the tank to its full capacity given that it is already 3/4 full.
