Explanation

So, Persons and Days are inversely Proportional.
Hours and Days are also inversely Proportional.
So that,
25\;:\;15\;\&\;6\;:\;8\;:\;:\;10\;:\;x
\rightarrow\large\frac{25\times6}{15\times8}=\frac{10}{x}
\rightarrow\large\frac{5}{4}=\frac{10}{x}
\rightarrow 5x=10\times4
\rightarrow x=\large\frac{10\times4}{5}
\rightarrow x=8 days
\therefore 8 days will take 25 persons finish the work if they work 6 hours per day.
Ans: They will take 8 days to finish the work.

Alternative phrasings for this particular math query are:

1. If 15 persons can complete a task in 10 days working 8 hours per day, how many days will it take for 25 persons to finish the task if they work 6 hours per day?
2. If 15 persons typically finish a task in 10 days working 8 hours per day, how many days will it take for 25 persons to finish the task if they work 6 hours per day?
3. How many days are needed for 25 persons to finish a task if 15 persons can complete it in 10 days working 8 hours per day, and the 25 persons work 6 hours per day?