Jada walks up to a tank of water that can hold up to 10 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 7 gallons of water. Three minutes later, the tank contains 5 gallons of water.
3. How many minutes before Jada arrived was the water tank completely full? Explain or sho
To find out how many minutes before Jada arrived the tank was completely full, we need to determine how many gallons of water are draining out of the tank per minute.
Since the tank started with 7 gallons and ended with 5 gallons after 3 minutes, we can say that 2 gallons of water were drained out of the tank in those 3 minutes. Therefore, the rate at which water is draining out of the tank is 2 gallons per 3 minutes, or 2/3 gallons per minute.
To find out how many minutes before Jada arrived the tank was completely full, we need to calculate how long it would take to drain the 5 gallons of water from the tank. This can be done by dividing the remaining 5 gallons by the drainage rate of 2/3 gallons per minute:
5 gallons / (2/3 gallons per minute) = 7.5 minutes
So, 7.5 minutes before Jada arrived, the water tank was completely full.