Question 637559: First of all I will start by saying I am not a student, I'm an adult. My husband is usually really good with math questions (I think?) but he didn't know how to figure out my question. I received a speeding ticket and I would like to know if there is an equation to figure out if I was speeding to the degree the officer said. Here are the facts there is 1.2 miles from where the officer observed me speeding to where I was stopped. What I want to know is, is 1.2 miles an appropriate distance if traveling 71mph or would I have had to have traveled farther at that speed? Detailed resulted would be extremely appreciated.
Thanks so much,
Michelle
Answer by MathTherapy(10552)   (Show Source):
You can put this solution on YOUR website!
First of all I will start by saying I am not a student, I'm an adult. My husband is usually really good with math questions (I think?) but he didn't know how to figure out my question. I received a speeding ticket and I would like to know if there is an equation to figure out if I was speeding to the degree the officer said. Here are the facts there is 1.2 miles from where the officer observed me speeding to where I was stopped. What I want to know is, is 1.2 miles an appropriate distance if traveling 71mph or would I have had to have traveled farther at that speed? Detailed resulted would be extremely appreciated.
Thanks so much,
Michelle
I don't quite understand what you're asking, but I'll try to help as best I can.
You could have been traveling at that speed (71 mph) before he observed you at the 1.2 mile beginning-point. However, I would think that it doesn't matter how fast you were travelling before he observed you.
What I can tell you is that without a doubt, if you could prove that:
1) he observed you at the beginning of the 1.2-mile distance
2) he stopped you after you had traveled just 1.2 miles, and
3) the time that elapsed from where he observed you (beginning of the 1.2-mile trek), to the end-point (point where you were stopped) was more than 1.014084507 minutes, then you could not possibly have been traveling that fast.
That is because if you calculate the time to cover 1.2 miles, at 71 mph, you will get (1.2/71) of an hour, or 1.014084507 minutes.
What I'm trying to say is that if the time taken to travel 1.2 miles were more than 1.014084507 minutes, then your average speed was definitely not 71 mph. Additionally, if you believe or know without a doubt that the time it took you to cover the 1.2-mile distance was say 1.309, or around 1.31 minutes, or a little over 1.5 minutes, then your average speed over that 1.2-mile trek was about 55 mph, which may be the speed limit in your "neck of the woods."
Note that: the faster you travel over a certain distance, the less time it'll take to cover that distance, and vice-versa. That's because speed and distance vary inversely, or indirectly.
I hope this helped!!
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