Suppose you work as a truck driver, and you have been hired to carry a load of potatoes from Boise, Idaho, to Minneapolis, Minnesota, a total distance of $2,500$ kilometers. You estimate you can average $100k\frac{m}{h}r$ driving within the speed limits$,$ requiring a total of $25$ hours for the trip.

You hear on the news that Montana has just abolished its speed limit$,$ which constitute $1,500km$ of the trip. Your truck can travel at $150k\frac{m}{h}.$ What will be your overall speedup for the trip?

You can buy a new turbocharger for your truck. How fast must you travel through Montana to get an overall speedup for your trip of $1\mathrm{.}67$x$?$

What is the maximum theoretical overall speedup that you can achieve regardless your truck speed?