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 of 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 concept that the time and speed vary inversely. This can be represented by the equation:

t = k / r

Where t is the time, r is the speed, and k is a constant.

Given that it takes 2 hours to drive a distance at 67 miles per hour, we can plug these values into the equation:

2 = k / 67

Solving for k:

k = 2 * 67
k = 134

Now we can use the value of k 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.