Question

A buffalo runs 5 miles in 10 minutes. A horse runs 20 miles in 35 minutes. The buffalo and the horse run at constant rates. The buffalo runs at a rate of horse At what rate in feet per second does the buffalo run? feet per second.

Answer 1

To determine the buffalo's speed in feet per second, we convert 5 miles to 26,400 feet and 10 minutes to 600 seconds, then divide the distance by time, resulting in a speed of 44 feet per second.

Step-by-step explanation:

The question asks at what rate in feet per second does a buffalo run if it runs 5 miles in 10 minutes. To find the rate of the buffalo in feet per second, we need to follow several conversion steps. First, we convert miles to feet and minutes to seconds. There are 5,280 feet in a mile and 60 seconds in a minute. The buffalo runs 5 miles which is equal to 5 * 5,280 feet. The buffalo runs this distance in 10 minutes, which is 10 * 60 seconds.

Converting 5 miles to feet: 5 miles * 5,280 feet/mile = 26,400 feet.

Converting 10 minutes to seconds: 10 minutes * 60 seconds/minute = 600 seconds.

Now, to find the speed in feet per second: Speed = Distance / Time = 26,400 feet / 600 seconds, which equals 44 feet per second.