Two pipes A and B can fill 20 gallons and 30 gallons of water in one hour respectively and the third...........

Math and Mental Ability Pipes&cistern

Two pipes A and B can fill 20 gallons and 30 gallons of water in one hour respectively and the third pipe C can empty ‘x’ gallons of water in an hour. If all the three are opened together, the tank gets filled in 15 hours, and when pipe A and B are opened together the tank gets filled in 12 hours, then find how much gallons of water are drained by pipe C in an hour ?

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Explanation:

Gallons of water filled by pipe A and B in one hour = 20 + 30 = 50
Capacity of the tank = 50 × 12 = 600 gallon
Now three pipes together,
⇒ (20 + 30 – x) × 15 = 600
⇒ 300 + 450 – 15x = 600
⇒ 15x = 750 – 600
⇒ X =150/15 = 10 gallons.