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Phani and Rani working together can complete a certain work in 6 days. Rani alone can do it in 8 days. In how many days Phani alone could finish the same work?

12 days
16 days
18 days
24 days
Explanation:

Consider that there are a total of 24 units of work to be done (LCM of 6 and 8). Also, Phani can finish P units of work per day and Rani can finish R units of work per day.
Working together, they can complete 24 units in 6 days. Hence, in one day, they can finish 4 units of work.
P + R = 4 ------- (i)
Rani alone can finish 24 units of work in 8 days. Hence, in one day, she can finish 3 units of work.
R = 3.
Substituting in eq (i), P = 1.
At the rate of 1 unit per day, it will take Phani 24 days to complete the given work.

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