How calculate how far light travels in a nanosecond

1/299792458 = how fast one it takes to travel one metre
1 second = 1x10^9nanoseconds

I dont understand how to solve these problems can you teach me?

Well this might be tough if you didn't know the properties of light. Just so you know, light travels at constant speed, meaning that it never slows down or speeds up. There are ways to slow down light but that's really advanced. There is no way to speed up light just so you know. Anyways the formula for constant velocity with respect to time is
V=(D/t); where V is Velocity, D is distance, and t is the time.
We do a bit of algebraic work and we can rearrange the equation to get D by itself. We multiply both sides by t to get
V*t=D
The velocity of light (299 792 458 m / s) note that m/s means meters per second.
A nanosecond is (1X10^-9).
You multiply the speed of light and the nanosecond to get
.3 meters.

So your dad is going 60 mph on hwy 31 between Canberra and Melbourne to catch the semifinals at Rod Laver stadium, which is still 360 mi away. The match between Nadal and Djokovic starts in 5 hrs, will your dad make it on time to see the first serve?

If you can work the above, you can work your physics problem the same way.

Hint: distance = average speed X time traveled.