Question : If Sita and Gita can do a job together in 4 days and Sita alone can do the job in 6 days, in how many days can Gita do the job alone?
Option 1: 8
Option 2: 10
Option 3: 12
Option 4: 14
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Correct Answer: 12
Solution :
Given:
Sita and Gita can do a job together in 4 days.
Sita and Gita's 1 day's work = $\frac{1}{4}$
Sita alone can do the job in 6 days.
Sita's 1 day's work = $\frac{1}{6}$
So, Gita's 1 day's work = $\frac{1}{4}-\frac{1}{6}=\frac{1}{12}$
So, Gita alone can do the work in 12 days.
Hence, the correct answer is 12.
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