X can do a piece of work in ‘p’ days and Y can do the

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X can do a piece of work in ‘p’ days and Y can do the same work in ‘q’ days. Then the number of days in which X and Y can together do that work is

X’s 1 day’s work =	1
	p

Y’s 1 day’s work =	1
	q

(X + Y)’s 1 day’s work

=	1	+	1	=	p + q
	p		q		pq

∴ Required time =	pq
	p + q