Pipes And Cisterns Q11

11.	Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is   open all the time and B and C are open for one hour each alternately, the tank will be full in:
	A. 6 hours B. 6 2 hours 3 C. 7 hours D. 7 1 hours 2

Answer: Option C

Explanation:

(A + B)'s 1 hour's work =		1	+	1		=	9	=	3	.
		12		15			60		20

(A + C)'s hour's work =		1	+	1		=	8	=	2	.
		12		20			60		15

Part filled in 2 hrs =		3	+	2		=	17	.
		20		15			60

Part filled in 6 hrs =		3 x	17		=	17	.
			60			20

Remaining part =		1 -	17		=	3	.
			20			20

Now, it is the turn of A and B and	3	part is filled by A and B in 1 hour.
	20

                        Total time taken to fill the tank = (6 + 1) hrs = 7 hrs.