Question

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. Use complete sentences

Answer 1

1st: convert to same units of measurement
as we need the final answer in miles / hr, convert both trains to that UOM.
\[\large \frac {320~km} {1~hr} = \frac {???~ miles}{1 hr} \]
\[\large \frac {88.44~m} {1~sec} = \frac {???~ miles}{1 hr} \]

Answer 2

Idk how to do this?

Answer 3

how many miles are there in a kilometer?

Answer 4

idk

Answer 5

google it then

Answer 6

1 kilometer=0.621371 miles

Answer 7

cool
so to convert, we need to get rid of the kms and replace with miles
\[\large \frac {320~km} {1~hr} \times \frac {0.621371~ miles }{1~ km}= \frac {???~ miles}{1 hr} \]

Answer 8

so 320/1 = 320
and 0.621371/1 = 0.621371

so 320 x 0.621371 = answer for train 1

Answer 9

198.83872 is what i got

Answer 10

cool, so Shinkansen Bullet Train goes at roughly 198.84 miles/hr

now the other train

how many miles are there in a meter?

Answer 11

1 meter=0.000621371 miles

Answer 12

perfect dude,
so to convert meters to miles, multiply by that number
\[\large \frac {88.44~m} {1~sec} \times \frac {0.000621371~miles}{1~m} = \frac {???~ miles}{1 hr} \]

Answer 13

88.44/1 = 88.44
0.000621371/1 = 0.000621371

so 88.44 x 0.000621371 = answer for train 2 in miles per hr

Answer 14

.05495405124

Answer 15

* sorry man, my bad, that is the answer for miles per second, not miles per hour
so to get it to "hours" mulitply
.05495405124 x 60 x 60 = answer

Answer 16

\[\large \frac {88.44~m} {1~sec} \times \frac {0.000621371~miles}{1~m} \times \frac {60 sec}{1min} \times \frac {60 min}{1hr} = \frac {???~ miles}{1 hr}\]

Answer 17

so u want the 2nd fastest train
so pick something in the middle of these 2 above speeds
then work out how far it will travel in 2.5 hrs if its going at the speed you picked