Solve the following question given below:
Question: A rocket that has a proper length of 1000 m moves away from a space station and in the +x direction at 0.60c relative to an observer on the station. An astronaut stands at the rear of the rocket and fires a dart toward the front of the rocket at 0.80c relative to the rocket.
Question 1: How long does it take the dart to reach the front of the rocket-
A: As measured in the frame of the rocket,
B: As measured in the frame of the space station, and
C: As measured in the frame of the dart?
If possible just a brief explanation how you determine how long does it take the dart to reach the front of the rocket?