The time t required to drive a certain distance varies inversely with the speed r. If it takes 4 hours to drive the distance at 35 miles per hour, how long will it take to drive the same distance at 45 miles per hour?

Answer 1

Let t be the time required to drive the distance at 45 miles per hour.

From the given information, we have:

4 = k/35, where k is a constant.

Solving for k, we get:

k = 4 * 35
k = 140

Now, we can use this constant k to find the time t at 45 miles per hour:

t = k/45
t = 140/45
t ≈ 3.11 hours

Therefore, it will take approximately 3.11 hours to drive the same distance at 45 miles per hour.