SOLUTION: a tank can be normally filled in hours. but after the tank developed a leak it took 12 hours to fill it. how long would it take the leak to empty a full tank?

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Question 103672: a tank can be normally filled in hours. but after the tank developed a leak it took 12 hours to fill it. how long would it take the leak to empty a full tank?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a tank can be normally filled in 10 hours. but after the tank developed a leak it took 12 hours to fill it. how long would it take the leak to empty a full tank?
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Let t = time for the leak to empty the tank
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Let the full tank = 1
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Positive is filling and negative is leaking
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12%2F10 - 12%2Fx = 1
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Multiply equation by 10x to get rid of the denominators
10x(12%2F10) - 10x(12%2Fx) = 10x*1
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12x - 10(12) = 10x
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12x - 120 = 10x
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12x - 10x = + 120
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2x = 120
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x = 120/2
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x = 60 hrs for leak to empty the full tank
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Check our solution on a calc:
12%2F10 - 12%2F60 =
1.2 - .2 = 1
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Did this make sense to you?