A, B and C do a job in 6 days,12 days and 15 | vedclass

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(C) The work rates of $A, B$ and $C$ are $\frac{1}{6}, \frac{1}{12}$ and $\frac{1}{15}$ units per day respectively.After $\frac{1}{8}$ of the work is

Vedclass · Accepted Answer

$3 \frac{1}{2}$

Vedclass · Answer

(C) The work rates of $A, B$ and $C$ are $\frac{1}{6}, \frac{1}{12}$ and $\frac{1}{15}$ units per day respectively.After $\frac{1}{8}$ of the work is completed,the remaining work is $1 - \frac{1}{8} = \frac{7}{8}$ units.The combined work rate of $A$ and $B$ is $\frac{1}{6} + \frac{1}{12} = \frac{2+1}{12} = \frac{3}{12} = \frac{1}{4}$ units per day.Time taken by $A$ and $B$ to complete the remaining work $= \frac{	ext{Remaining Work}}{	ext{Combined Rate of } A+B} = \frac{7/8}{1/4} = \frac{7}{8} 	imes 4 = \frac{7}{2} = 3 \frac{1}{2}$ days.

$A, B$ and $C$ 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. What is the time taken to finish the remaining work? (in days)

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