Sita and Gita together can do a piece of work in 8 days and if Sita alone does twice as much work as Gita in given time, find how long Sita alone would take to do the work

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24 days

10.5 days

9 days

12 days

answer is D.

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Detailed Solution

Sita and Gita can do a work = 8 days

Let Sita alone can complete the work in x days

Gita alone complete the work in 2x days

Sita and Gitas one day work is

$\frac{1}{x} + \frac{1}{2 x} = \frac{1}{8} \Rightarrow \frac{2 + 1}{2 x} = \frac{1}{8} \Rightarrow \frac{3}{2 x} = \frac{1}{8} \Rightarrow x = 12$

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