Question : Tapas works twice as fast as Mihir. If both of them together complete a work in 12 days, Tapas alone can complete it in:
Option 1: 15 days
Option 2: 18 days
Option 3: 20 days
Option 4: 24 days
Correct Answer: 18 days
Solution :
Let $x$ be the number of days Tapas takes to complete the whole work.
So, Mihir takes = 2$x$ days
According to the question,
$\frac{1}{x}+\frac{1}{2x}=\frac{1}{12}$
$⇒\frac{2+1}{2x}=\frac{1}{12}$
$\therefore x$ = $\frac{3×12}{2}$ = 18 days
Hence, the correct answer is 18 days.
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