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
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.