$A, B$ and $C$ can do a work separately in $16, 32$ and $48$ days respectively. They started work together but $B$ left off $8$ days and $C$ left $6$ days before the completion of work. In what time is the work finished?

14 d a y s

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12 d a y s

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9 d a y s

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10 d a y s

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None of these

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Solution

The correct option is B $12 d a y s$
Let the work be finished in $x$ days.
According to question,
$\frac{x}{16} + \frac{x - 8}{32} + \frac{x - 6}{48} = 1$
$\Rightarrow 11 x - 36 = 96$
$\Rightarrow 11 x = 132$
$\Rightarrow x = \frac{132}{11} = 12$ days.
$∴$ option $B$ is correct.

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A,B and C can do a work separately in 16,32 and 48days respectively. They started work together but B left off 8days and C left 6days before the completion of work. In what time is the work finished?

The correct option is B 12daysLet the work be finished in x days.According to question,x16+x−832+x−648=1⇒11x−36=96⇒11x=132⇒x=13211=12 days.∴ option B is correct.

$A, B$ and $C$ can do a work separately in $16, 32$ and $48$ days respectively. They started work together but $B$ left off $8$ days and $C$ left $6$ days before the completion of work. In what time is the work finished?

The correct option is B $12 d a y s$
Let the work be finished in $x$ days.
According to question,
$\frac{x}{16} + \frac{x - 8}{32} + \frac{x - 6}{48} = 1$
$\Rightarrow 11 x - 36 = 96$
$\Rightarrow 11 x = 132$
$\Rightarrow x = \frac{132}{11} = 12$ days.
$∴$ option $B$ is correct.