Gven that there are 12 quarts of wastewater in one barrel, and given that the recycling facility picks up 120 full barrels on each trip, this means that the recycling facility picks up 12 x 120 = 1,440 quarts of wastewater.
Given that wastewater is filling barrels at the rate of 11 quarts per hour, then the number of hours taken to fill 1,440 quarts of wastewater is given by
[tex] \frac{1,440}{11} =130.\overline{90}[/tex] hours.
To find the number of days between each pick-up, recall that there are 24 hours in one day, therefore, the number of days between each pick-up is given by
[tex] \frac{130.\overline{90}}{24} =5.\overline{45}[/tex]
Therefore, there are 6 days between each pick-up
