the time, t, required to drive a certain distance varies inversely with the speed, r. if it takes 12 hours to drive the distance at 60 miles per hour, how long will it take to drive the same distance at 110 miles per hour?

Answer 1

To solve this problem, we can use the formula for inverse variation:

t = k/r

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

Given that it takes 12 hours to drive the distance at 60 miles per hour, we can substitute these values into the equation to solve for k:

12 = k/60
k = 720

Now that we have found k, we can use it to find the time it will take to drive the same distance at 110 miles per hour:

t = 720/110
t ≈ 6.55 hours

Therefore, it will take approximately 6.55 hours to drive the same distance at 110 miles per hour.