Question

What real world applications depend on the relationship between distance average and time besides car distances?

Answer 1

Exercise and training in general. If you want to keep track of your progress in having great stamina to run you would use distance and time. For example, every day you run for x hours and x distance, eventually you would average higher and keep up easier. (more distance--> same time)

Answer 2

... walking to the store
... biking to school
... your progress during 6 months of jogging
... hitting a home run over the center field wall
... returning the kickoff for a touchdown
... a slapshot that the goalie hardly saw go by
... a dragster doing a quarter mile
... a space shuttle returning from orbit