For a space elevator, the "space station" is near geosynchronous orbit. 36000 km / 200 km/h is roughly 8 days.

In SI, that would be kilo pico hour. But yeah I'm pretty sure it's kilometers per hour in American.

I assume the author meant km/h or 200 km per hour as you have guessed, and if the satellite it 36000km high / 200km it would take 180 hours or 7.5 days.

8 * 24 * 200 = 38,400 km.

Geostationary orbit is 35,786km above the equator, so 8 days feels a fair approximation.