A, B and C can do a job in 6 days,12 days and | vedclass

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(C) Step $1$: Calculate the work done by $C$ before leaving.$C$ leaves after $\frac{1}{8}$ of the work is completed.Step $2$: Calculate the remaining

Vedclass · Accepted Answer

$3 \frac{1}{2}$

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(C) Step $1$: Calculate the work done by $C$ before leaving.$C$ leaves after $\frac{1}{8}$ of the work is completed.Step $2$: Calculate the remaining work.Remaining work $= 1 - \frac{1}{8} = \frac{7}{8}$.Step $3$: Calculate the combined efficiency of $A$ and $B$.$A$'s $1$ day work $= \frac{1}{6}$.$B$'s $1$ day work $= \frac{1}{12}$.$(A + B)$'s $1$ day work $= \frac{1}{6} + \frac{1}{12} = \frac{2 + 1}{12} = \frac{3}{12} = \frac{1}{4}$.Step $4$: Calculate the time taken by $A$ and $B$ to complete the remaining work.Time $= \frac{	ext{Remaining Work}}{	ext{Combined Efficiency}} = \frac{7/8}{1/4} = \frac{7}{8} 	imes 4 = \frac{7}{2} = 3 \frac{1}{2}$ days.

$A, B$ and $C$ can do a job in $6$ days,$12$ days and $15$ days,respectively. After $\frac{1}{8}$ of the work is completed,$C$ leaves the job. The rest of the work is done by $A$ and $B$ together. The total time taken to finish the work is (in days):

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