Question

The rate traveled from Amarillo to Austin by a bus averages 60 miles per hour. The bus arrived in Austin after eight hours of travel. An automobile averages 48 miles per hour. Using the inverse variation relationship, show what the time would be for the automobile to complete the trip.

Answer 1

Answer: It would take 10 hours of travel for the car to arrive to Austin.

Answer 2

60 mph ------------- 8 h
48 mph --------------- x h
_________________
The inverse variation:
60 : 48 = x : 8
60 · 8 = 48 x
480 = 48 x
x = 480 : 48 = 10 h
Answer: the car would arrive to Austin after 10 hours of travel.