X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days. How long will they together take to complete the work?

13 1 days 3
15 days
20 days
26 days

Correct Answer: 13 1 days 3

Explanation:

Work done by X in 8 days =	❨	1	x 8	❩	=	1	.
		40				5

Remaining work =	❨	1 -	1	❩	=	4	.
			5			5

Now,	4	work is done by Y in 16 days.
	5

Whole work will be done by Y in	❨	16 x	5	❩	= 20 days.
			4

∴ X's 1 day's work =	1	, Y's 1 day's work =	1	.
	40		20

(X + Y)'s 1 day's work =	❨	1	+	1	❩	=	3	.
		40		20			40

Hence, X and Y will together complete the work in	❨	40	❩	= 13	1	days.
		3			3

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