Question

"Variable to Solve For:

8.3 Filling and Emptying Tanks

Tank A initially contained 124 liters of water. It is then filled with more water, at a constant rate of 9 liters per minute.

How many minutes have passed, denoted as ‘m,’ when Tank A contains 191.5 liters?"

Answer 1

By subtracting the initial water volume from the desired volume and dividing by the fill rate, we conclude that 7.5 minutes have passed for Tank A to contain 191.5 liters.

Step-by-step explanation:

To find out how many minutes have passed when Tank A contains 191.5 liters, we start by calculating the difference in volume from the initial amount of water to the desired amount. Tank A starts with 124 liters and needs to reach 191.5 liters.

The volume change needed is: 191.5 liters - 124 liters = 67.5 liters.

Since the tank is being filled at a rate of 9 liters per minute, we divide the volume change by the rate to find the time:

m = 67.5 liters / 9 liters/minute = 7.5 minutes.

Therefore, 7.5 minutes have passed when Tank A contains 191.5 liters.