Question

A spaceship traveled 3 4 of a light-year and stopped at a space station. Then it traveled 1 12 of a light-year further to a planet. How far did the spaceship travel in all?

Answer 1

The total distance traveled by spaceship in all is 5 / 6 of a Light Year

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

=
`((3)/(4) ) + ((1)/(12) )`

=
`(3(3) + 1)/(12)  = (9 + 1)/(12)  = (10)/(12)  = (5)/(6) \\\implies ((3)/(4) ) + ((1)/(12) ) = (5)/(6)`

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