We spent almost all day working our way to Amboseli. I just went on Google to try and figure out the actual distance, and followed the roads that are marked. Here's what I figured out:

Nairobi to Amboseli (as the crow flies)
168 kms
104 miles

Nairobi to Amboseli (using the roads)
244.51 kms
151 miles

No matter how you look at it, it took a lot of time. Once you're off the main roads in Kenya, vehicle speed will rarely get over 60-80 KM/hr.

Oltukai Lodge was to be our base for the next 3 days. Here's the Lodge sign as we were pulling in...