Question

a and b together can do a piece of work in 8 days. if a alone can do the same work in 12 days then b alone can do the same work in how many days? 12 14 16 15 next ques

Answer 1

in this problem simple way to find answers

A + B together one days ,work is

1/8

and A one days work is = 1/12

B = ( A + B ) - A

B = 1/8 - 1/12

= (12 - 8)/96

= 4/96

= 1/24

A = 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 :

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