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Question

The time it takes to cover the distance between two cities by car varies inversely with the speed of the car. The trip takes 4 hours for a car moving at 39 mph. How long does the trip take for a car moving at 26 mph? 

Answer 1

We need to first determine how far the car traveled.

distance = speed (miles/ time) x time

(miles/ hour) x hours= miles

Car A: 39mph and 4 hours total driving

Car B: 26mph and unknown total driving time

First: determine distanced traveled by plugging in two known variables from Car A

(39 mi/ hour) x 4 hours = 156 miles aka distanced traveled total

Next: you have to known variables for car B equation above but missing time.

distance= Speed x time

156 miles= ( 26 miles/hour) x times

divide 156 by 26

156 miles/ (26 miles/ hour) = 6 hours

car B traveling at 26mph will take 6 Hours