Aptitude Overflow
0 votes
28 views
A can do piece of work in 4 hours: B and C  together can do it in 3 hours,while A and C together can do it in 2 hours. how long will B alone take to do it?
asked in Quantitative Aptitude by (38 points) 2 | 28 views

1 Answer

+1 vote
Work done by $A$ in $1$ hour =$\frac{1}{4}$

Work done by $B$ and $C$  in $1$ hour=$\frac{1}{3}$

Work done by $A$ and $C$  in $1$ hour=$\frac{1}{2}$


Work done by $A$ ,$B$ and $C$  in $1$ hour=$\frac{1}{4} +\frac{1}{3}=\frac{7}{12}$

Work done by $B$ in $1$ hour $=$ (Work done by $A$ ,$B$ and $C$  in $1$ hour)$-$(Work done by $A$ and $C$  in $1$ hour)

                                                $=$$\frac{7}{12} - \frac{1}{2} = \frac{1}{12}$


$B$ alone will take time to complete his work =12 Hours
answered by (11k points) 7 12 97

Related questions

2,839 questions
1,285 answers
509 comments
40,780 users