They're both correct. There are two different effects.

    - less gravity, time goes faster.
    - More speed, time goes slower.

In this case, the effect of less gravity is greater than the effect of having more speed.

The classic example of this is the GPS satellites. Compared to the ground, an onboard clock of a GPS satellite is

    - 7 microseconds/day slower because it moves at higher velocity.
    - 45 microseconds/day faster because it experiences less gravity.

So the clock goes a net 38 microseconds/day faster compared to a ground clock.