Two taps J and L can fill a tank alone in 10 minutes and 12 minutes respectively. If an outlet tap K is opened and all three taps work together, then the same rank will be filled in 15 minutes. How much time will tap K alone take to empty the same tank?

A

$$\frac{58}{11}$$ minutes

B

$$\frac{52}{3}$$ minutes

C

$$\frac{60}{7}$$ minutes

D

$$\frac{56}{3}$$ minutes