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Q.

A and B can do a given piece of work in 8 days, Band C can do the same work in 12 days and A, B and C complete it in 6 days. Number of days required to finish the work by A and C is

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a

8

b

16

c

24

d

12

answer is A.

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Detailed Solution

$(A + C) = 2 (A + B + C) - (A + B) - (B + C)$

$= 2 (\frac{1}{6}) - \frac{1}{8} - \frac{1}{12} = \frac{1}{8}$

$∴ A$ and $C$ can finish the work in $8$ days.

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A and B can do a given piece of work in 8 days, Band C can do the same work in 12 days and A, B and C complete it in 6 days. Number of days required to finish the work by A and C is