A can do a piece of work in 8 days and B can do it in 10

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A can do a piece of work in 8 days and B can do it in 10 days separately. How many days would it take for both A and B to finish the same work together ?

A’s 1 day’s work =	1
	8

B’s 1 day’s work =	1
	10

(A + B)’s 1 day’s work

=	1	+	1	=	5 + 4	=	9
	8		10		40		40

∴ Required time =	40	days
	9