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

Question

Mathematics

Declan

16 June, 23:58

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

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Answers (1)

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Dominik Lawson · 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.