Question $5$

$8$ pts

An individual is planning to take a $500-km$ trip between two large cities. Three possibilities exist: air, rail, or auto. The person is willing to pay $$25$ for every hour saved in making the trip.

The trip by air costs $$450,$ security takes $1$ hour to get through, the uber to their final destination is $30$ minutes and the plane goes $500k\frac{m}{h}r$ The trip by rail costs is $$400,$ the person must board $15$ minutes before their departure, and the train goes $100k\frac{m}{h}r$ The trip by car costs $$0\mathrm{.}8$ per $km$ and the car goes $60k\frac{m}{h}r.$

Which mode is the best choice?

All Cost The Same

Train

Automobile

Plane