Question

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 when Tank A contains 270.25 liters?

a) 15 minutes.
b) 16 minutes.
c) 18 minutes.
d) 20 minutes.

Answer 1

After calculating the volume of water added and dividing it by the filling rate, we find that it takes 16.25 minutes to fill Tank A to 270.25 liters. The closest answer choice to 16.25 minutes is 16 minutes.

The correct option is B.

Step-by-step explanation:

To determine how many minutes have passed when Tank A contains 270.25 liters, we need to calculate the difference between the final and initial amount of water, and then divide by the rate at which water is being added.

The initial volume of Tank A = 124 liters
The final volume of Tank A = 270.25 liters
Filling rate = 9 liters per minute

First, calculate the volume of water added to Tank A:

Final volume – Initial volume = 270.25 liters – 124 liters = 146.25 liters.

Next, calculate the time taken to add 146.25 liters at the rate of 9 liters per minute:

Time = Volume added ÷ Filling rate = 146.25 liters ÷ 9 liters/minute = 16.25 minutes.

Since there is no option for 16.25 minutes, we round to the nearest whole minute. Therefore, the closest answer is (b) 16 minutes.

The correct option is B.