Answer:
The total distance traveled by spaceship in all is 5 / 6 of a Light Year
Step-by-step explanation:
Here, the distance traveled by spaceship in first go = 3/ 4 Light Year
The distance traveled after stopping at space station = 1/ 12 Light Year
Now, the Total distance traveled by Spaceship = Sum of all distances traveled by spaceship
= [tex](\frac{3}{4} ) + (\frac{1}{12} )[/tex]
= [tex]\frac{3(3) + 1}{12} = \frac{9 + 1}{12} = \frac{10}{12} = \frac{5}{6} \\\implies (\frac{3}{4} ) + (\frac{1}{12} ) = \frac{5}{6}[/tex]
or, 3/ 4 Light Year + 1/ 12 Light Year = 5 / 6 of a Light Year
Hence, the total distance traveled by spaceship in all is 5 / 6 of a Light Year