Question

Wastewater is filling barrels at the rate of 11 quarts per hour. The recycling facility picks up 120 full barrels on each trip, and each barrel holds 12 quarts of wastewater. How many days are between each pickup? Show your work to receive full credit.

Answer 1

That is 6 days are between each pickup

Explanation:

The recycling facility picks up 120 full barrels on each trip, and each barrel holds 12 quarts of wastewater.

Volume of water carried by recycling facility = 12 x 120 = 1440 quarts.

Wastewater is filling barrels at the rate of 11 quarts per hour.

Number of hours required to fill 1440 quarts
`=(1440)/(11)=130.91\texttt{ hours}`

Number of days
`=(130.91)/(24)=5.45\texttt{ days}`

So, 5.45 days are between each pickup

That is 6 days are between each pickup

Answer 2

11t=120(12)

11t=1440

t=1440/11

However t is in hours and we want to know days so:

d=(1440/11)/24

d=1440/264

d=60/11

d=5 5/11 days