A works 5.4 times as fast as B, and A takes 22 days less than B to complete the job when each works alone. Calculate the number of days taken to complete the same job if A and B work together.

A

$$4\frac{1}{4}$$

B

$$4\frac{3}{16}$$

C

$$4\frac{7}{32}$$

D

$$4\frac{5}{32}$$