What is the speed of a sprayer that completes a 400-ft test course in an average of 65 seconds?

To determine the speed of the sprayer completing a 400-ft test course in 65 seconds, we first need to convert the distance and time into compatible units to calculate speed in miles per hour (mph).

1. Convert feet to miles: There are 5280 feet in a mile. Therefore, to convert 400 feet to miles, we divide:

[

\text{Distance in miles} = \frac{400 \text{ ft}}{5280 \text{ ft/mile}} \approx 0.07576 \text{ miles}

]

2. Convert seconds to hours: There are 3600 seconds in an hour. To convert 65 seconds to hours, we divide:

[

\text{Time in hours} = \frac{65 \text{ seconds}}{3600 \text{ seconds/hour}} \approx 0.01806 \text{ hours}

]

3. Calculate speed: Speed is calculated as distance divided by time. Therefore, we find the speed by dividing the distance in miles by the time in hours:

[

\text{Speed (mph)} = \frac{0.07576 \