SOLUTION: a train travels 650 km in 12 hours what is the average speed in m/s

Question 1202485: a train travels 650 km in 12 hours what is the average speed in m/s
Found 2 solutions by ikleyn, math_tutor2020:
Answer by ikleyn(52852)   (Show Source): You can put this solution on YOUR website!
.

It is      meters per second.

Use your calculator or make calculations mentally in your brain, if you can.

Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

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
https://www.youtube.com/watch?v=QqDVJTAVaTY

This is one way to draw out the railroad conversion diagram.

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
https://www.algebra.com/algebra/homework/Percentage-and-ratio-word-problems/Percentage-and-ratio-word-problems.faq.question.1200497.html

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