Three Spaceships A, B, and C Are in Motion as Shown

Multiple Choice

Three spaceships A, B, and C are in motion as shown in the figure. The commander on ship B observes ship C approaching with a relative velocity of $0.82 c$ . The commander also observes ship A, advancing in the rear, with a relative velocity of $0.50 \mathrm { c }$ . What is the speed of ship $\mathrm { C }$ as measured by the captain of ship A?

A) $22 c$
B) $0.54$
C) $1.3 c$
D) $0.94 c$
E) $0.23 c$