Distance traveled by the race horse=6 furlongs
Converting the distance from furlongs to rods: 40 rods =1 furlong
[tex]6 furlongs*\frac{40rods}{1furlong} =240rods[/tex]
Converting the distance from rods to yards, feet and miles: 5.5 yards = 1 rod, 3foot =1 yard, 1 mile = 5280 feet.
[tex]240rods*\frac{5.5yards}{1rod}*\frac{3foot}{1yard}*\frac{1mi}{5280feet}=0.75mi[/tex]
The given speed of race horse = 40.7mi/hr
Calculating the time required:
[tex]0.75mi*\frac{1hr}{40.7mi}*\frac{60min}{1hr}*\frac{60s}{1min}= 66.34s[/tex]
Therefore, 66.34 s is required for a race horse to run six furlongs at 40.7 miles per hour.