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.

    Double Checking the Answer:

    ## (“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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