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 ##