Rocket velocity toward jupiter?

Question

A 6000 kg spaceprobe moving nose-first toward Jupiter at 100 m/s relative to the sun fires its rocket engine, ejecting 80kg of exhaust at a speed of 250 m/s relative to the spaceprobe. What is the final velocity of the probe?

Answer 1

v = 100 + (80)(250)/5020
v = 103.98 m/s