Two pipes can fill a cistern in 12 hours and 16 hours, respectively. The pipes are opened simultaneously and it is found that due to leakage at the bottom, it takes 90 minutes more to fill the cistern. How much time will the leakage take to empty the completely filled tank?

A

$$36\frac{29}{49}$$h

B

$$38\frac{10}{49}$$h

C

$$39\frac{13}{49}$$h

D

$$37\frac{15}{49}$$h