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?
about 1.64 hours
about 134.00 hours
about 2.45 hours***
about 61.00 hours
I don't remember much about solving questions like these so I just want to make sure I'm right.
Yes, you're right.
You're welcome.
Thank you!
CORRECT
To solve this problem, we can use the formula for inverse variation:
t = k/r
where t represents the time, r represents the speed, and k is a constant.
We are given that it takes 2 hours to drive the distance at 67 miles per hour. We can use this information to determine the value of k.
2 = k/67
To find the value of k, we can cross multiply and solve for k:
k = 2 * 67
k = 134
Now that we have the value of k, we can plug it into the formula and solve for the time it takes to drive the same distance at 55 miles per hour.
t = 134/55
t ≈ 2.45 hours
So the correct answer is about 2.45 hours.