SOLUTION: A large container is being filled with water at the rate of 2 3/4 gallons per minute. If the container leaks at the rate of 1/8 gallon a minute how long would it take to fill a 14

Question 877095: A large container is being filled with water at the rate of 2 3/4 gallons per minute. If the container leaks at the rate of 1/8 gallon a minute how long would it take to fill a 14 gallon container? List all steps .
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
In words:
( rate of filling container ) x ( time to fill container )
minus
( rate of leaking from container ) x ( time to fill container )
equals
( the size of the container in gallons )
------------------------------------
(2)
Let = the time in minutes to fill
14 gallon container
--------------------
(3)
Convert 2 3/4 to quarters
2 3/4 =
------------------
(4)

Multiply both sides by

----------------
(5)
Convert min to sec

--------------------
It will take 5 min 20 sec to fill
the 14 gallon container
----------------------
(6)
check:
Convert to thirds

-----------------

Multiply both sides by

OK

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