Question

Question

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 use the formula for inverse variation:

t = k/r

where t is the time in hours, r is the speed in miles per hour, and k is a constant. We can solve for k using the information given in the problem:

2 = k/67

k = 2 * 67 = 134

Now that we have the value of k, we can plug it into the formula and solve for t when r = 55:

t = 134/55

t ≈ 2.4364

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