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Question

Two pipes can fill a tan in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute.  All he three pipes working together can fill the tan in 15 minutes . The capacity of the tank is :


Options:
A .  60 gallons
B .  100 gallons
C .  120 gallons
D .  180 gallons
Answer: Option C

Work done by the waste pipe in 1 minute

          = `1/15 - (1/20 + 1/24) =  (1/15 - 11/120) =  - 1/40`         [ -  ve sign means emptying ]

`:.`        Volume of `1/40`  part = 3 gallons.

            Volume of whole = (3 x 40) gallons =  120 gallons.



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