Both Te and Ti are given a recipie to make a cake.
So Te starts by making a plan (Looks up a good five star recipe online, what in ingredients are needed, where to get them from, what tools will be needed, etc.)
Then will get straight on to prep work, making it, bake it, then let it cool down. Fine tuning the process to get the cake completed in the least amount of time.
In the mean time Ti looked at the recipie and asked why? Why these ingredients? Why in this order? Why these ratios. And then Ti begins the long process of experimenting with different ratios, cooking times, even ingredients. Eventually (with a few disasters along the way, like cooking the cake until it's a pile of hot ash haha) Ti finds the exact formula to make the best cake, with parameters that can be adjusted depending on the conditions the cake is to be made.
At this point Te looks at Ti and says "big woop, it's only cake" and is happily sitting down eating it's 20th cake compared to the one Ti has come up with in the same amount if time.
Ti looked at it's cake and thinks...
this is the one cake...the one cake to rule them all !!! *insert evil laugh here*