Question 1202485
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Answer: 15.046296 meters per second approximately


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Work Shown:


1000 m = 1 km
1 hr = 60 min
1 min = 60 sec


We can use the railroad tracks conversion method.
It's named as such because the lines somewhat resemble a railroad track. It's missing one of the metal rails, but you probably get the idea.


Check out this video for an example
<a href = "https://www.youtube.com/watch?v=QqDVJTAVaTY">https://www.youtube.com/watch?v=QqDVJTAVaTY</a>


This is one way to draw out the railroad conversion diagram.
{{{
drawing(400,400,-5,5,-5,5,
locate(-4.5,1,matrix(1,2,"650","km")),
locate(-4.5,0.5,matrix(1,2,"12","hr")),

locate(-3+0.2,1,matrix(1,2,"1000","m")),
locate(-3+0.2,0.5,matrix(1,2,"1","km")),

locate(-2+0.7,1,matrix(1,2,"1","hr")),
locate(-2+0.7,0.5,matrix(1,2,"60","min")),

locate(0.2,1,matrix(1,2,"1","min")),
locate(0.2,0.5,matrix(1,2,"60","sec")),

line(-4.6,0.6,1.5,0.6),
line(-3,1,-3,0),
line(-1.5,1,-1.5,0),
line(0.1,1,0.1,0)
)
}}}
The placement of each term is to get the following units to cancel: km, hr, min
The goal is to be left with "meters" up top and "seconds" down below.
The first column is our given data. 
The last three columns are the equations I mentioned earlier. Eg: 1000 m = 1 km. These equations are either memorized, or written on a reference sheet.


From here we multiply across the top
650*1000*1*1 = 650,000
do the same across the bottom
12*1*60*60 = 43,200


Divide the results
(650,000)/(43,200) = 15.046296 meters per second approximately is the final answer.



Another conversion problem
<a href = "https://www.algebra.com/algebra/homework/Percentage-and-ratio-word-problems/Percentage-and-ratio-word-problems.faq.question.1200497.html">https://www.algebra.com/algebra/homework/Percentage-and-ratio-word-problems/Percentage-and-ratio-word-problems.faq.question.1200497.html</a>
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