SOLUTION: Calculate the speed of the following: A man runs 1000 metres in 184 seconds (calculate his speed in kiometres per hour) thankyou

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Question 125793: Calculate the speed of the following:
A man runs 1000 metres in 184 seconds (calculate his speed in kiometres per hour)
thankyou

Answer by Edwin McCravy(20066) About Me  (Show Source):
You can put this solution on YOUR website!
Calculate the speed of the following:
A man runs 1000 metres in 184 seconds (calculate his speed in kiometres per hour)

First let's make a "chain path" to go from meters (m) to 
kilometers (km) and a "chain path" to go from seconds (s)
to hours (h)

m (meters) --> km (kilometers) 

s (seconds) --> min (minutes) --> h (hours) 

Put 1000m over 184s, and parentheses around it:

+%28%281000m%29%2F%28184s%29%29+

Now create a unit fraction to multiply by with 
a denominator which will cancel out the "m" on 
the top, and a numerator to bring in "km" on the
top:  

Since 1000m = 1km, we create the unit fraction 
%281km%29%2F%281000m%29 to multiply it by:

%28%281000m%29%2F%28184s%29%29%281km%2F%281000m%29%29  

Now the "m"s cancel, and, incidentally,
so do the 1000's!:



Next we create a unit fraction to multiply by with 
a numerator which will cancel out the "s" on 
the bottom of the first fraction, and a denominator
to bring in "min" on the bottom:

Since 60s = 1min, we create the unit fraction 
%28%2860s%29%2F%281min%29%29 to multiply it by:


Now we see that the "s"s cancel:



Next we create a unit fraction to multiply by with 
a numerator which will cancel out the "min" on 
the bottom of the third fraction, and a denominator
to bring in "h" on the bottom:

Since 60min = 1h, we create the unit fraction 
%28%2860min%29%2F%281h%29%29 to multiply it by:



Now we see that the "min"s cancel:



Now the only units we have left are "km" on the 
top and h on the bottom, so we multiply all the 
numerators together on top and bottom and get:

%283600km%29%2F%28184h%29

Then finally we divide 3600 by 184 and get 
19.56521739.  So, rounding off to tenths we end 
up with the final answer: 

19.6%28km%29%2Fh%29
 
Edwin