Question

The Kentucky Derby is a horse race run over a distance of 10 furlongs. How fast must a horse run to complete the Derby in 2 minutes, to the nearest tenth of a mile per hour? (1 mile = 8 furlongs).

Answer 1

To complete the Kentucky Derby in 2 minutes, a horse must run at a speed of 37.5 miles per hour.

Step-by-step explanation:

To calculate the speed at which a horse must run to complete the Kentucky Derby in 2 minutes, we can use the formula speed = distance / time. The distance of the Kentucky Derby is 10 furlongs, which is equivalent to 1.25 miles. The time given is 2 minutes. So, the speed can be calculated as: speed = 1.25 miles / 2 minutes.

To convert the time from minutes to hours, we divide by 60: speed = 1.25 miles / (2/60) hours.

Now, we can simplify the calculation: speed = 1.25 miles / (1/30) hours = 37.5 miles per hour.

Therefore, a horse must run at a speed of 37.5 miles per hour to complete the Kentucky Derby in 2 minutes.