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?
A. about 1.64 hours
B. about 134.00 hours
C. about 2.45 hours
D. about 61.00 hours
We can start by using the formula for inverse variation: t = k/r, where k is the constant of proportionality.
To find k, we can use the given information that it takes 2 hours to drive the distance at 67 miles per hour:
2 = k/67
Solving for k, we get k = 134.
Now we can use this value of k to find the time required to drive the same distance at 55 miles per hour:
t = 134/55
t ≈ 2.45 hours
Therefore, the answer is C. About 2.45 hours.