A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :

8 days
10 days
12 days
15 days

Correct Answer: 12 days

Explanation:

(A + B)'s 1 day's work =	❨	1	+	1	❩	=	1	.
		15		10			6

Work done by A and B in 2 days =	❨	1	x 2	❩	=	1	.
		6				3

Remaining work =	❨	1 -	1	❩	=	2	.
			3			3

Now,	1	work is done by A in 1 day.
	15

∴	2	work will be done by a in	❨	15 x	2	❩	= 10 days.
	3				3

Hence, the total time taken = (10 + 2) = 12 days.

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