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?
1.64
134.00
2.45
61.00
To solve this question, we need to use the inverse variation formula. Inverse variation is a relationship between two variables where their product remains constant.
The formula for inverse variation is: t = k/r
Here, t represents the time required to drive the distance, r represents the speed, and k is the constant of variation.
Given that it takes 2 hours to drive the distance at 67 miles per hour, we can substitute these values into the formula to find the value of k:
2 = k/67
To solve for k, we can cross-multiply:
2 * 67 = k
Simplifying, we find:
k = 134
Now, we can use this value of k to determine the time required to drive the same distance at 55 miles per hour:
t = 134/55
Calculating this, we find:
t ≈ 2.45
Therefore, it will take approximately 2.45 hours to drive the same distance at 55 miles per hour.
So, the correct answer is 2.45.
rt = k and is constant. So, you want t such that
55t = 67*2