Math Driving Project
We had to come up with a question based off of something to do with driving. My question was "How much faster can you get somewhere going 5 (MPH) over the speed limit compared to going over the speed limit?" I tested this from my house in Skyridge Durango Colorado to Animas High School.
To find this I needed to find out the different speed limits going from my house to Animas, how many there were and the total distance from my house to Animas. To find the total distance I used the website freemaptools.com/measure-distance.htm. I also needed the formula to find the time which is distance divided by time which is speed divided by time.
Next, I took all of the speed limits and found the average by adding them all up and dividing by seven since that was the total number of them. Also, there is a speed change from the morning to the afternoon I did that for going the speed limit and going over the speed limit. After this, I took the morning numbers one by one and divided them by the total distance it took. Once I had those numbers I added the two together and divided them by two and that is how I got the average time it takes to get from my house to Animas High School. Then I did the same for the afternoon.
The total distance from my house to Animas High School is 4.32 miles. In the morning going the speed limit, the speeds are 25, 35, 20, 30, 35, 35, 45. In the afternoon going the speed limit, the speeds are 25, 35, 25, 30, 35, 35, 45. In the morning going 5 (MPH) over the speed limit, the speeds are 30, 40, 25, 35, 40, 40, 50. In the afternoon going 5 (MPH) over the speed limit, the speeds are 30, 40, 30, 35, 40, 40, 50. I found going five miles over the speed limit will get you there one minute faster
Morning going the speed limit: 25 + 35 + 20 + 30 + 35 + 35 + 45 = 225 / 7 = 32.14
Affternoon going the speed limit: 25 + 35 + 25 + 30 + 35 + 35 + 45 = 225 / 7 = 32.85
Morning going 5 (MPH) over the speed limit: 30, 40, 25, 35, 40, 40, 50 / 7 = 37.14
Afternoon going 5 (MPH) over the speed limit: 30, 40, 30, 35, 40, 40, 50 / 7 = 37.85
Morning going the speed limit: 4.32/ 32.14 * 60 = 8.06
Afternoon going the speed limit:4.32/ 32.85 * 60 = 7.89
Morning going 5(MPH) over the speed limit: 4.32/ 37.14 * 60 = 6.89
Afternoon going 5(MPH) over the speed limit: 4.32/ 37.85 * 60 = 6.84
Going the speed limit: 8.06 + 7.89 = 15.95 / 2 = 7.975
Going 5 (MPH) over the speed limit: 6.89 + 6.84 = 13.82 / 2 = 6.905
To find this I needed to find out the different speed limits going from my house to Animas, how many there were and the total distance from my house to Animas. To find the total distance I used the website freemaptools.com/measure-distance.htm. I also needed the formula to find the time which is distance divided by time which is speed divided by time.
Next, I took all of the speed limits and found the average by adding them all up and dividing by seven since that was the total number of them. Also, there is a speed change from the morning to the afternoon I did that for going the speed limit and going over the speed limit. After this, I took the morning numbers one by one and divided them by the total distance it took. Once I had those numbers I added the two together and divided them by two and that is how I got the average time it takes to get from my house to Animas High School. Then I did the same for the afternoon.
The total distance from my house to Animas High School is 4.32 miles. In the morning going the speed limit, the speeds are 25, 35, 20, 30, 35, 35, 45. In the afternoon going the speed limit, the speeds are 25, 35, 25, 30, 35, 35, 45. In the morning going 5 (MPH) over the speed limit, the speeds are 30, 40, 25, 35, 40, 40, 50. In the afternoon going 5 (MPH) over the speed limit, the speeds are 30, 40, 30, 35, 40, 40, 50. I found going five miles over the speed limit will get you there one minute faster
Morning going the speed limit: 25 + 35 + 20 + 30 + 35 + 35 + 45 = 225 / 7 = 32.14
Affternoon going the speed limit: 25 + 35 + 25 + 30 + 35 + 35 + 45 = 225 / 7 = 32.85
Morning going 5 (MPH) over the speed limit: 30, 40, 25, 35, 40, 40, 50 / 7 = 37.14
Afternoon going 5 (MPH) over the speed limit: 30, 40, 30, 35, 40, 40, 50 / 7 = 37.85
Morning going the speed limit: 4.32/ 32.14 * 60 = 8.06
Afternoon going the speed limit:4.32/ 32.85 * 60 = 7.89
Morning going 5(MPH) over the speed limit: 4.32/ 37.14 * 60 = 6.89
Afternoon going 5(MPH) over the speed limit: 4.32/ 37.85 * 60 = 6.84
Going the speed limit: 8.06 + 7.89 = 15.95 / 2 = 7.975
Going 5 (MPH) over the speed limit: 6.89 + 6.84 = 13.82 / 2 = 6.905