# If a swimmer swims 85.4 yards in 5 minutes. How many meters will he swim in 70.0 seconds?

Start with a known ratio of distance to time and multiply by the desired time
##(“85.4 yards”) / (“5 minutes”) * (“70.0 seconds”)/1 = ?##
The units of measurement don’t match so multiply by a ratio of the appropriate units where that ratio is equivalent to 1
##= (“85.4 yards”) / (“5 minutes”) * (“70.0 seconds”)/1 * (“1 minute”)/(“60 seconds”)##
Cancel out the equivalent units and factors:
##= (“85.4 yards”) / (5) * 70.0/1 * 1/60##
Finish doing the arithmetic:
## = (“85.4 yards”) / (5) * 70.0/60 ##
## = “19.9 yards” ##
Since the answer is being asked for in meters, we know that
## “1 yard” = “0.9144 meters” ##
## = (“19.9 yards”) * (“0.9144 meters”)/(“1 yard”)##
## = “18.1966 meters” ##
Hope this simplifies the process for you.
## (“85.4 yards”) / (“5 minutes”) = (“18.1966 meters”)/(“70 seconds”)##
## => (“78.0898 meters”) / (“300 seconds”) = (“18.1966 meters”)/(“70 seconds”)##
## => “0.26 meters/second” = “0.26 meters/second” ##

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