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:

60 gallons
100 gallons
120 gallons
180 gallons

Correct Answer: 120 gallons

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.

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