Question

3.Ellen works for a high-speed rail company that wants to develop a new rail line. Ellen’s project is to find a train that is the second fastest in the world. The Shinkansen Bullet Train in Japan is reported to go as fast as 320 kilometers per hour. The TGV train in France can reach speeds of 89.44 meters per second. Explain to Ellen how to find what speed her new train must go to be the second fastest in this group. Then, find an appropriate speed for Ellen’s train in miles per hour and use the formula distance = speed • time to find how far the train can go in 2.5 hours.

Answer 1

Use complete sentences and show your work. I'll give a medal!!!! I really need help on this one!!!

Answer 2

First, you want to get the TGV train into km per hour. Then you want a train that goes faster than shinkansen but less than the TGV.

Start by doing unit cancellation.

Answer 3

Do you understand how unit cancellation works?

Answer 4

Not really :(

Answer 5

I'm a junior in high school this is my 4th time taking algebra that how much I don't get it :(

Answer 6

I don't mind working through it with you if you at least try. First, simplify the question:

Japan: 320km/h
France: 89.44m/s

As you can see, these aren't in the same units. You can't compare apples and oranges so first get them into the same units

Answer 7

Okay how do I get them into the same units?

Answer 8

unit cancellation is an easy visual way to convert between units.

For example. How many meters is 23 kilometers? see: the attached file

Answer 9

You're multiplying by 1. As you can see 1000m IS 1 km.

That's what I did in the first picture

Answer 10

So 23 kilometers is 23,000 meters

Answer 11

yeah. that's basically what we did here

There are 60 seconds to a minute. 60 minutes to an hour. So we multiply by 60 twice and now we have meters/hours.

Then we divide by 1000 to get kilometers/hour

Answer 12

okay so 321 km is one hour

Answer 13

yeah. so now we have

Japan: 320km/h
France: 321.984km/h

Ellen wants a train that is the 2nd fastest. that means her trains top speed is:
320<x<321.984.

It can be anywhere above 320 but under 321.984

Answer 14

Okay I think I'm following haha sorry I am trying I appreciate you helping me

Answer 15

before we go on/after we do, you can ask me anything you're not getting. I'm here to help not feed answers.

"Then, find an appropriate speed for Ellen’s train in miles per hour and use the formula distance = speed • time to find how far the train can go in 2.5 hours. "
k so step 1 is to pick a number between 320 and 321.984

then to plug it in to d = s * t
distance = [whatever number you pick] * 2.5

Answer 16

Okay so distance= 320 times 2.5 =800

Answer 17

remember 320 < x < 321.984

You can't pick 320

Answer 18

321 would be cool though

Answer 19

Okay 321

Answer 20

So 321 times 2.5 = 802.5

Answer 21

that works

Answer 22

good job bibby
thx bibby

Answer 23

Haha thanks a bunch @bibby is that all I need to know!

Answer 24

That's basically it. if you want someone who can actually explain math things teach you unit cancellation check http://www.purplemath.com/modules/units.htm

or youtube

Answer 25

Okay thank you sooo much!!!!

Answer 26

Glad I could help :D