The time required for a car to travel a certain distance varies inversely as the rate at which it travels. If it takes 10 hours at 60 miles per hour to travel the distance, how long will it take at 100 miles per hour?
A)t = 6 hours
B)t = 10 hours
C)t = 5 hours
D)t = 9 hours
E)t = 4 hours

Question

Quizplus · Accepted Answer

The time $ t $ required to travel a certain distance varies inversely with the speed $ v $, so $ t = k/v $ where $ k $ is a constant. Given $ t = 10 $ hours at $ v = 60 $ mph, we find $ k = 600 $. At $ 100 $ mph, $ t = 600 / 100 = 6 $ hours.

The Time Required for a Car to Travel a Certain