A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished?

11:30 A.M.
12 noon
12:30 P.M.
1:00 P.M.

Correct Answer: 1:00 P.M.

Explanation:

(P + Q + R)'s 1 hour's work =	❨	1	+	1	+	1	❩	=	37	.
		8		10		12			120

Work done by P, Q and R in 2 hours =	❨	37	x 2	❩	=	37	.
		120				60

Remaining work =	❨	1 -	37	❩	=	23	.
			60			60

(Q + R)'s 1 hour's work =	❨	1	+	1	❩	=	11	.
		10		12			60

Now,	11	work is done by Q and R in 1 hour.
	60

So,	23	work will be done by Q and R in	❨	60	x	23	❩	=	23	hours ≈ 2 hours.
	60			11		60			11

So, the work will be finished approximately 2 hours after 11 A.M., i.e., around 1 P.M.

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