A can complete a piece of work in x days. B alone can do the same work in y days. If A and B together complete the work in z days, what is the relation between x, y and z
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A's 1 day work = 1/x
B's 1 day work = 1/y
(A+B)'s 1 day work = 1/z
.
. . 1/x + 1/y. = 1/z
or x+y = z
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Step-by-step explanation:
A can complete a piece of work in x days
A 1day work = 1/x
B can complete a piece of work in y days
B 1day work = 1/y
A and B complete a piece of work in z days
(A+B) 1day work = 1/z
a/q
1/x + 1/y = 1/z
(x+y)/xy = 1/z
on taking resiprocal of it
xy/(x+y)= z
#666
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