How long does the twin on Earth calculate the journey will take?

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SUMMARY

The discussion centers on the calculation of travel time for a spaceship moving at 0.5 light years per year to a star system 4.37 light years away. According to the twin on Earth, the journey takes 8.74 years, resulting in a total travel time of 17.5 years. The time dilation formula indicates that the traveling twin experiences 15 years during the journey. The calculations are confirmed as accurate, with a suggestion to include additional significant figures for precision.

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VitaminK
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Homework Statement
Just want to check if I got this right.
A star system is located 4.37 light-years away from us. During an experiment, where one of the twins was left back on Earth while the other one was on a spaceship, heading towards the star system. Assume that the spaceship was traveling at 50% of the speed of light and that the twin traveled to the star system and back.

a) how long will the journey take according to the twin on Earth?
b) how long will the journey take according to the twin on the spaceship?
Relevant Equations
t=to/sqrt(1-(v^2/c^2)), where t= time on Earth and to=time on space ship
a) Speed of the spaceship is 0,5 light years/year. Time that it take to travel to the star system, according to the twin on Earth, is:
4,37/0,5 ¨¨¨¨=8,74 years. Total travel time is 17,5 years

b) time dilation formula gives to= 15 years

is this correct?
 
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Looks good. (You might want to include another significant figure in your answer for part b)
 
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