Earth Circumference = 24,000 miles [ diameter]
Time for gaucho to make a ``trip around the world'' = 24 hours.
miles/hours
Distance traveled: miles (diameter of the Earth's orbit)
= 584,600,600 miles miles
Time taken: 1 year hours
Speed miles/hour (!).
Note that the ``units'' are important in these equations. They have to work out and they can be used to divine the correct equation to use if your memory or physical reasoning abilities abandon you for some reason. For example:
Q. How fast are we moving through...
Suppose you knew this was somehow related to how far we travel and how long it takes but you can't remember the exact equation. You CAN remember that ``how fast'' must come out in units of velocity like Miles/Hour. So, lets try:
The units for the multiplication on the right-hand side are
This can't be right. So, work backwards from the units, the way to end up with the right velocity units is clearly to take the distance traveled divided by the time taken. Then the units are: