how fast is voyager 1 going?

On September 9, 2012, Voyager 1 was 121.836 AU from the Earth and 121.798 AU from the Sun; and traveling at 17.043 km/s (38,120 mph) relative to the Sun and traveling outward at about 3.595 AU per year.

Sunlight takes 16.89 hours to get to Voyager 1, and so do radio signals sent to the craft.

The apparent magnitude of the Sun from the spacecraft is −16.3. Voyager 1 is heading in the direction of the constellation Ophiuchus. (To compare, Proxima Centauri, the closest star to our Sun, is about 4.2 light-years (or 265,000 AU) distant. Voyager 1's current relative velocity to the Sun is 17,043 m/s (61,350 km/h; 38,120 mph). This calculates as 3.592 AU per year, about 10% faster than Voyager 2.

At this velocity, 73,775 years would pass before reaching the nearest star, Proxima Centauri, were the spacecraft traveling in the direction of that star. Voyager 1 will need about 17,565 years at its current velocity to travel a complete light year.

Read more here :

http://en.wikipedia.org/wiki/Voyager_1

..to a motionless object in space Voyager is moving around 38,000 miles per hour.