Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Rob walks up to a tank of water that can hold 85 gallons. When it is active a drain
empties water from the tank at a constant rate. When Bob first sees the tank it
contains 30 gallons of water. 5 minutes later, the tank contains 15 gallons of water.

Sagot :

mathstudent55

Answer:

rate of change: 3 gal/min

minutes to empty: 5 minutes

minutes before Bob arrived that tank was full: 18 1/3 minutes

Step-by-step explanation:

When Bob first saw it, the tank contained 30 gal. 5 minutes later it contained 15 gal.

Difference in gallons: 30 - 15 = 15

Difference in time: 5 minutes

Rate of draining: 15 gal / 5 minutes = 3 gal/minute

It drained 15 gallons in 5 minutes. It has 15 gallons now, so it will take 5 minutes to empty out.

The total capacity is 85 gallons. When Bob saw it, it only had 30 gallons.

85 gal - 30 gal = 55 gal

It had emptied 55 gallons before Bob saw it.

emptying rate = volume/time

time = volume/rate

time = 55 gal / (3 gal/min)

time = 55/3 minutes

time = 18 1/3 minutes

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.