Question

How many seconds does it take a race horse to run six furlongs at 40.7 miles per hour if: I furlong = 40 rods; 5.5 yards = 1 rod; and 5280 feet =1 mile?

Answer 1

Distance traveled by the race horse=6 furlongs

Converting the distance from furlongs to rods: 40 rods =1 furlong

$6 furlongs*\frac{40rods}{1furlong} =240rods$

Converting the distance from rods to yards, feet and miles: 5.5 yards = 1 rod, 3foot =1 yard, 1 mile = 5280 feet.

$240rods*\frac{5.5yards}{1rod}*\frac{3foot}{1yard}*\frac{1mi}{5280feet}=0.75mi$

The given speed of race horse = 40.7mi/hr

Calculating the time required:

$0.75mi*\frac{1hr}{40.7mi}*\frac{60min}{1hr}*\frac{60s}{1min}= 66.34s$

Therefore, 66.34 s is required for a race horse to run six furlongs at 40.7 miles per hour.