Three pipes A, B and C can fill a cistern in 15, 24 and 36 minutes respectively. If pipe D can drain a full tank in 1hour. how long will it take for the tank to be filled if all the four pipes are kept open together?

A

$$9\frac{1}{8}$$ hours

B

$$5\frac{12}{25}$$ hours

C

$$7\frac{2}{3}$$ hours

D

$$8\frac{16}{43}$$ hours