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The official answer... way to long!

If you really want a mathematical answer lets give it a try...

speed of light is 3*10^8 m/s

60 secondes per minute, 60 minutes per hour, 24 hour per day and 365 days per year:

60*60*24*365 = 31 536 000 secondes/year.

300 000 km/s * 31 536 000 s/year = 9 460 800 000 000 km/year ---> this is the distance light travels in one year.

The Shuttle travels at an approximate speed of 28 000 km/h

28 000 km/h * 24 * 365 = 245 280 000 km/year

100 000 light years * 9 460 800 000 000 km = 946 080 000 000 000 000 km

946 080 000 000 000 000 / 245 280 000 = 3 857 142 857 years

I hope there is an inflight movie!

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Q: How long would it take to travel 100000 light years away in our space shuttle?
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