SOLUTION: The intake pipe can fill a certain tank in 6 hours when the outlet pipe is closed, but with the outlet pipe open it takes 9 hours. How long would it take the outlet pipe to empty
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-> SOLUTION: The intake pipe can fill a certain tank in 6 hours when the outlet pipe is closed, but with the outlet pipe open it takes 9 hours. How long would it take the outlet pipe to empty
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You can put this solution on YOUR website! The intake pipe can fill a certain tank in 6 hours when the outlet pipe is closed, but with the outlet pipe open it takes 9 hours. How long would it take the outlet pipe to empty a full tank?
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Let x = time for outlet to empty the tank:
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Let the filled tank = 1
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The intake is filling for 9 hrs (+)
The outlet is draining for 9 hrs (-) = 1
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Multiply the equation by 6x to get rid of the denominators
9x - 6(9) = 6x
9x - 54 = 6x
9x - 6x = 54
3x = 54
x = 54/3
x = 18 hrs for the outlet to empty a full tank by itself
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Check: 9/6 - 9/18 =
3/2 - 1/2 = 1
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Another words:
the input will fill a tank and a half in 9 hrs
the outlet will remove a half a tank in 9 hrs
Leaving a full tank
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