Question : Raju and Ramu together can do a piece of work in 8 days, and Raju alone can do it in 12 days. In how many days can Ramu alone do it?
Option 1: 18 days
Option 2: 20 days
Option 3: 22 days
Option 4: 24 days
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Correct Answer: 24 days
Solution :
Raju and Ramu together can do a piece of work in 8 days.
Their 1 day's work = $\frac{1}{8}$
Raju alone can do it in 12 days.
Raju's 1 day's work = $\frac{1}{12}$
So, Ramu's 1 day's work = $\frac{1}{8}-\frac{1}{12}=\frac{1}{24}$
$\therefore$ Ramu can complete the work alone in 24 days.
Hence, the correct answer is 24 days.
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