Final answer:
It takes approximately 5.64 days to fill 124 barrels with waste water at a rate of 11 quarts per hour, which is the interval between each pick up by the recycling facility.
Step-by-step explanation:
To find out how many days are between each pick up of waste water by the recycling facility, we need to determine the total amount of waste water that can be held by the barrels and how long it will take to fill them at the given rate.
First, we calculate the total capacity of the 124 barrels:
- 124 barrels × 12 quarts per barrel = 1488 quarts total capacity
Next, we calculate how long it takes to fill this capacity at the rate of 11 quarts per hour:
- 1488 quarts total capacity ÷ 11 quarts per hour = 135.27 hours
There are 24 hours in a day, so to find the number of days, we divide the total hours by 24:
- 135.27 hours ÷ 24 hours per day = 5.64 days
Therefore, it takes approximately 5.64 days to fill 124 barrels with waste water, and this is the interval between each pick up by the recycling facility.