the time it takes to cover the distance between two cities by car varies inversely with the speed of the car. the trip takes 10 hours for a car moving at 39 mph. how long does the trip take for a car moving at 26 mph?

Answer 1

The distance between the cities:

10 ∙ 39 = 390 mi

When two variables are inversely proportional, their product is equal to a constant.

In this case distance = time ∙ speed

d = t ∙ v

390 = t ∙ 26

t = 390 / 26 = 15 h