Three pipes A, B, C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all three pipes are opened. A B & C discharge chemical solution ‘Q’, ‘R’, ‘S’ respectively. What is the proportion of solution ‘S’ in the liquid in the tank after 3 minutes:

A

$$\frac{7}{11}$$

B

$$\frac{5}{11}$$

C

$$\frac{6}{11}$$

D

$$\frac{8}{11}$$