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) 16 minutes.
b) 18 minutes.
c) 20 minutes.
d) 22 minutes.

Answer 1

To determine how long it took to fill Tank A to 270.25 liters from 124 liters at a rate of 9 liters per minute, one calculates the volume difference and divides by the rate of flow. The time calculated is 16.25 minutes, rounding to the nearest whole minute, the answer is 16 minutes.

Step-by-step explanation:

To find out how many minutes have passed when Tank A contains 270.25 liters given it started with 124 liters and is filled at a rate of 9 liters per minute, we need to calculate the difference in volume and then divide by the rate of flow.

First, we find the difference in volume:
Vfinal - Vinitial = 270.25 liters - 124 liters = 146.25 liters.

Next, we calculate the time it took to fill this volume at the rate of 9 liters per minute:
Time = 146.25 liters ÷ 9 liters/minute = 16.25 minutes.

Since we cannot have a fraction of a minute in the options provided, we round to the nearest whole minute, which gives us an answer of 16 minutes (option a).