If dye takes 7 minutes and 30 seconds to travel through an 8 inch sewer, what is the velocity in feet per second?

To determine the velocity of the dye in feet per second, you first need to convert the distance and time into compatible units. In this case, the distance is given in inches, while we ultimately want the velocity in feet per second.

1. Convert the distance from inches to feet. There are 12 inches in a foot, so: [

8 \text{ inches} = \frac{8}{12} \text{ feet} = \frac{2}{3} \text{ feet} \approx 0.6667 \text{ feet} ]

2. Convert the time from minutes and seconds to seconds. The dye takes 7 minutes and 30 seconds, which is: [ 7 \text{ minutes} = 7 \times 60 = 420 \text{ seconds} ] Adding the additional 30 seconds gives: [ 420 \text{ seconds} + 30 \text{ seconds} = 450 \text{ seconds} ]

3. Use the formula for velocity, which is distance divided by time: [ \text{Velocity} = \frac{\text{Distance}}{\text{Time