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

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

[A].

60 gallons

[B].

100 gallons

[C].

120 gallons

[D].

180 gallons

Answer: Option C

Explanation:

Work done by the waste pipe in 1 minute = 1 1 + 1
15 20 24
    = 1 11
15 120
    = –  1 .    [-ve sign means emptying]
40
Volume of 1 part = 3 gallons.
40

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