A pipe can fill up an empty tank in 12 minutes. Another pipe flows out 14 liter per minute.The two pipes are opened together and the empty tank is filled up in 96 minutes. How much water does the tank contain?
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Answer:
Let C be the lime that Pipe C takes to empty the tank when Pipe A and Pipe B are closed.
Pipe A + Pipe B - Pipe C kept Open together results in a full tank getting emptied in 1 hour (60 min.)
1
12
+
1
15
−
1
C
=−
1
60
(negative sign indicates that the tank is getting emptied) or
1
12
+
1
15
−
1
C
=
1
C
or C=6 minutes
If Pipe C can empty the tank in 6 minutes and it drains water at the rate of 22 liters/minute, then the capacity of the tank = 6×22 = 132 liters.
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