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A 450 gallon water tank is leaking at a rate of 20gallons

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A 450 gallon water tank is leaking at a rate of 20gallons [#permalink] New post 24 Jul 2006, 15:37
A 450 gallon water tank is leaking at a rate of 20gallons per hour. Approximately, how long will it take to completely fill the tank if a hose is continuously running water into the tank at a rate of 15gallons per minute and if the tank already has 50gallons of water?
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 [#permalink] New post 24 Jul 2006, 16:38
HI...

I think the answer is 300/11 minutes. This will take to completely fill the tank.

20 gallons per hour = 1/3 gallons per minute

THen the tank received 15 gallons in a minute and lost, at the same time, 1/3 gallons in a minute.

15 - (1/3) = (44/3) The tank received finally 44/3 gallons per minute.

If the tank has 50 gallons, we need to put in the tank, 400 more gallons, to fill it.

Thus, the tank receives in one minute 44/3 gallons, how long it will take to get 400 gallons?

...............................300/11 minutes.....
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  [#permalink] 24 Jul 2006, 16:38
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A 450 gallon water tank is leaking at a rate of 20gallons

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