SOLUTION: It takes 4 hoses 40 minutes to fill a 6000 gallon tank. How long would it take 5 hoses to fill a 3000 gallon tank?

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Question 999658: It takes 4 hoses 40 minutes to fill a 6000 gallon tank. How long would it take 5 hoses to fill a 3000 gallon tank?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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In the first case the rate of the hose is  6000%2F%284%2A40%29 gallons%2Fminute.

In the second case,  when  5  hoses are used,  the rate is  3000%2F%285%2At%29,  where  t  is the unknown time.

The hose rate is the same in both cases.  It gives an equation

6000%2F%284%2A40%29 = 3000%2F%285%2At%29.

Hence,  t = 3000%2F6000.%284%2A40%29%2F5 = %281%2F2%29%2A4%2A8 = 16 minutes.