P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?

5 5 11
5 6 11
6 5 11
6 6 11

Correct Answer: 5 5 11

Explanation:

P can complete the work in (12 x 8) hrs. = 96 hrs.

Q can complete the work in (8 x 10) hrs. = 80 hrs.

∴ P's1 hour's work =	1	and Q's 1 hour's work =	1	.
	96		80

(P + Q)'s 1 hour's work =	❨	1	+	1	❩	=	11	.
		96		80			480

So, both P and Q will finish the work in	❨	480	❩	hrs.
		11

∴ Number of days of 8 hours each =	❨	480	x	1	❩	=	60	days = 5	5	days.
		11		8			11		11

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