Pipe D can fill a tank in $15$ hours, and pipe E can fill the same tank in $18$ hours. Pipe F can empty the tank in $25$ hours. Initially, pipes D and...

Question

Pipe D can fill a tank in $15$ hours, and pipe E can fill the same tank in $18$ hours. Pipe F can empty the tank in $25$ hours. Initially, pipes D and E are opened together for $5$ hours. After that, pipe E is closed, and pipe F is opened along with pipe D. Find the total time taken by pipes D and F together to fill the remaining part of the tank.

Options

A.

1451214 \frac{5}{12} hours

B.

1471214 \frac{7}{12} hours

C.

1471114 \frac{7}{11} hours

D.

1171211 \frac{7}{12} hours

E.

1271212 \frac{7}{12} hours

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