A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in ?
A. 4 days
B. 6 days
C. 8 days
D. 12 days
Answer: Option C
Solution(By Examveda Team)
L.C.M. of Total Work = 24One day work of A + B = $$\frac{{24}}{{8}}$$ = 3 unit/day
One day work of B + C = $$\frac{{24}}{{12}}$$ = 2 unit/day
One day work of A + B + C = $$\frac{{24}}{{6}}$$ = 4 unit/day
$$\eqalign{ & {\text{Efficiency of C}} \cr & = 4 - 3 \cr & = 1 \cr & {\text{Efficiency of A}} \cr & = 4 - 2 \cr & = 2 \cr & {\text{Efficiency of B}} \cr & = 4 - 1 \cr & = 3 \cr & {\text{Efficiency of A}} + {\text{C}} \cr & = 2 + 1 \cr & = 1 \cr & {\text{Time taken by A}} + {\text{C}} \cr & = \frac{{24}}{3} \cr & = 8{\text{ days}} \cr} $$
Related Questions on Time and Work
A. 18 days
B. 24 days
C. 30 days
D. 40 days
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