I have a question to time dilation while traveling.

If it where possible to travel at 4/5 of the speed of light, it would seem to us that the person traveling would travel 4/5 of the speed of light.

But now comes the problem: If time slows down for the traveler, will it be a higher speed for the traveler?

so if the traveler travels at 4/5 of the speed of light and has a time dilation(relative to his start point) of 1/2 would it be faster for the traveler?