Question

tank a contains 35 gallons of water and is increasing at a rate of 5 gallons per minute. tank b contains 100 gallons of water but is decreasing by 8 gallons per minute. in how many minutes will the tank contain th same amount of water? how much water will that be

Answer 1

A=35+5t, b=100-8t, a=b when:

35+5t=100-8t subtract 35 from both sides

5t=65-8t  add 8t to both sides

13t=65  divide both sides by 13

t=5 minutes

a=35+5(5)=60 gallons

So the tanks have an equal volume of 60 gallons after five minutes.