first person to get all parts of the question correct will win a Gyro, extra pita and large rootbeer.Imagine if you will, a set of train tracks between New York, NY and LA, CA. The tracks stretch a distance of exactly 2,784.12 miles. The two trains start traveling towards each other, the New York train moving at 36 miles per hour, and the LA train moving at 53 miles per hour, at exactly 2:00 p.m. EST.
When they run into each other, what mile marker will they be at, to the nearest tenth of a mile?
What would be the closest major city?
At what local time, would the trains meet, to the nearest second?
10 comments:
The time it would take to meet would be 31.28 Hrs. Train leaving from NYC would hit Mile marker 1126.08, train leaving LA would be Mile marker 2784.12 (D=R*T, but I rounded to 31.28). The nearest Major City, depending on which line you take between NYC and LA, would be Kansas City, MO (but would be very close to Springfield, MO). The trains would meet the next day at 8:16:08pm CST. Give me my gyro.
2784.12=D1+D2=(R1T1+R2T2)=(R1T+R2T)
2784.12=(53T+36T)=89T
T=2784.12/89
T=31.28
D=(R*T)
D=53*31.28
D1=1657.84 (LA TRAIN)
D=36*31.28
D2=1126.08 (NY TRAIN)
31.28 Hrs= 1 day, 7 hours, 16 minutes, and 8 Seconds
1 hour is subtracted for CST
Now you owe me 2 gyros!!!!!
Mile marker 1126.08 starting from the east, mile marker 1657.84 starting from the west. Not sure which direction mile markers work. I had a typo goof above, but you can see from my work I'm right. However, 1126.08+1657.84=2783.92, 2783.92 obviously does not = 2784.12, but there is a 0.2 mile difference b/c I rounded to 31.28.
Dammit
31.28 Hrs. = 1 day, 7 hours, 16 minutes, and 48 seconds. That's my final answer
So the time would be:
8:16:48pm CST
Bubs, you are pretty demanding with this Gyro talk. I have owed you a Gyro since I moved back home in November. I am pretty much available to go at nearly any time. But you never call and ask me to pay up. So why don't you put your exclamation points away and settle down and crack open that calender book of yours and decide when you want to go.
Sure thing buddy. I'm no Mathlete, but sometimes math gets me excited.
I got the time closer to 8:16 and 56.09 seconds, but who's counting. You'll end up near Normandy Drive on the east side of Phillipsburg, MO. Not considered a large city, but it is on the Route 66 path.
If I live 1 mile away from work and averaged 30 mph on the way to work, how fast would I need to average on the way home in order to average 60 mph for the round trip?
Tony
I was helping Matt with his 1st grade math homework. He's learning about money and had the following problem:
You have a piggy bank with five coins. Some are dimes and some are nickels. What's the most money that you can have? Without hesitation, he said 40 cents. I told him to think again. He insisted that it was 40 cents. I explained to him that he could have 50 cents, but he said that the problem stated that some were dimes and some were nickels so at least two coins were nickels. I asked him in what context did the teacher describe similar problems, but he was getting bored and wanted to play the Wii.
Tony
Bubs and Tony,
I rechecked the answer and the question for that matter, and I did say to the nearest second. The correct answer is 8:16 and 56 seconds. The nearest major city is would be Kansas City, MO. So after further review, Tony had the correct answer.
Tony, I have yet to tackle the walking question, but as far as Matt's math problem. It is 5 coins some are nickles (plural so at least 2) and some are dimes (also plural so at least 2). If you are thinking somewhat outside the box, 2 nickles, 2 dimes and a silver dollar would be $1.30.
My answer is correct if you use T=31.28, which I rounded off. You engineers are so nitpicky! Congrats Tony on your Gyro.
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