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A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?

15 min
20 min
27.5 min
30 min

Correct Answer: 30 min

Explanation:

Part filled by (A + B) in 1 minute =	❨	1	+	1	❩	=	1	.
		60		40			24

Suppose the tank is filled in x minutes.

Then,	x	❨	1	+	1	❩	= 1
	2		24		40

⟹	x	x	1	= 1
	2		15

⟹ x = 30 min.

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