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If the Earth and Jupiter are lined up properly and you assume Jupiter is 480,000,000 miles from the sun and earth is 93,000,000 miles from the sun and the shuttle travels 17,500 mph:

480,000,000-93,000,000=387,000,000 (distance from Earth to Jupiter)

387,000,000/17,500=22,114 hours or 921 days or 2.522 years.

Note however, that space shuttles aren't designed to totally escape Earth's gravitational pull and wouldn't be able fly that far away. Also, we do not possess drives capable of achieving so much thrust to fly a spacecraft in straight trajectory towards planet. Generally we use transfer orbits - such as Hohmann transfer orbit - where spaceship leaves Earth on the opposite side of Sun. Travel time is even longer then.

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