Question

A and B together can do a piece of work in 8 days, but A alone can do it in 12 days. Hovw many days would B alone take to do the same work?

Answer 1

A and B together for one day=1/8
A one day work=1/12

1/12+1/x=1/8
1/x=1/24

B done full work in 24 days

Answer 2

Answer:

Given :

A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days

To find :

B alone can do the same work in?

Solution :

$\sf{In \: 1 day \: \: A \: and \: B \: together \: can \: do \: \dfrac{1}{8} \: of \: the \: work}. \\ \\ \sf{In \: 1 \: day \: A \: alone \: can \: do \: \dfrac{1}{12}\: of \: the \: work.} \\ \\ \sf{\therefore \: In \: 1 \: day \: B \: alone \: can \: do \: \dfrac{1}{8} - \dfrac{1}{12} \: of \: the \: work, \: ie, \: of \: the \: work.} \\ \\ \sf{\therefore \:B \: alone \: will \: take \: \dfrac{1}{ \dfrac{1}{24} },} \\ \\ \sf{ i.e., 24 \: days \: to \: do \: the \: work}$