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 A' and 'B' complete a work togather in 8 days.If 'A' alone can do it in 12 days.Then how many day 'B' will take to complete the work?

A25 days

B24 days

C20 days

DNone of these

Answer: Option B

Explanation:

A & B one day work = 1/8
A alone one day work = 1/12
B alone one day work = (1/8 - 1/12) = ( 3/24 - 2/24)
=> B one day work = 1/24
so B can complete the work in 24 days.

ShortCut By :: Aradhya

 A = 12, A+B = 8, B = ?

Take LCM of A & A+B = 24.

So, A=12*2 = 24, A+B = 8*3 = 24, B = 1*24 = 24.

Answer: B = 24days.

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