Question : Ankita can write a manuscript in 20 days. Ankita, along with her friend Somya, can write the manuscript in 12 days. In how many days can Somya alone write the manuscript?
Option 1: 22
Option 2: 32
Option 3: 28
Option 4: 30
Correct Answer: 30
Solution :
Ankita can write in 1 day = $\frac{1}{20}$ part
Ankita And Somya can write in 1 day = $\frac{1}{12}$ part
$\therefore$ Somya alone in 1 day can complete = ($\frac{1}{12}-\frac{1}{20}$) = $\frac{5-3}{60}$ = $\frac{1}{30}$ part
So, Somya alone can write the manuscript in ($1÷\frac{1}{30}$) = 30 days
Hence, the correct answer is 30.
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