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

Edwin