The time t required to drive a certain distance varies inversely with the speed, r. If it takes 2 hours to drive the distance at 67 miles per hour, how long will it take to drive the same distance at 55 miles per hour?

Answer 1

To solve this problem, we can set up the equation relating time and speed:

t = k/r

where t is the time, r is the speed, and k is the constant of variation.

From the information given, we know that when t = 2 hours and r = 67 miles per hour, so we can plug in these values to find k:

2 = k/67
k = 2 * 67
k = 134

Now we can use this equation to find the time it will take to drive the same distance at 55 miles per hour:

t = 134/55
t ≈ 2.44 hours

Therefore, it will take approximately 2.44 hours to drive the same distance at 55 miles per hour.