A hot tub holding 480 gal of water begins to empty at a rate of 5 gal/min. At the same time, an empty hot tub begins to fill at a rate of 15 gal/min. Let g represent the number of gallons of water and let t represent time in minutes. The system models this situation.

How long will it take for the hot tubs to hold equal amounts of water, and how much water will that be?

g = 480 – 5t

g = 15t

It will take minutes for both hot tubs to hold equal amounts of water. They will each hold gallons.

Question

A hot tub holding 480 gal of water begins to empty at a rate of 5 gal/min. At the same time, an empty hot tub begins to fill at a rate of 15 gal/min. Let g represent the number of gallons of water and let t represent time in minutes. The system models this situation.

 

How long will it take for the hot tubs to hold equal amounts of water, and how much water will that be?

 

g = 480 – 5t

g = 15t

   

It will take     minutes for both hot tubs to hold equal amounts of water. They will each hold     gallons.

godlovesme · Answer

g=480-5t and g=15 is the equation given right?

agl202 · Answer

solve 
 480 - 5t = 15t 
 480 = 20t 
 t = 24 minutes 
 g= 360

Hope this helps u!!! =)